Ch3L4 Linear Equation--Slope-Intercept form

Question 1

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.

Answer 1

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 2

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Answer 2

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 3

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.

Answer 3

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 4

The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year.

Answer 4

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 5

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

Answer 5

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 6

In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models this situation.

Answer 6

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 7

Cameron is designing a calendar as a fund-raising project for math class. The cost of printing is $500, plus $2.50 per calendar. Write an equation in slope-intercept form that models the total cost of printing the calendars.

Answer 7

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 8

When visiting Baltimore, MD, you need to rent a taxi to get from your hotel to the National Aquarium. The taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile. Write an equation in slope- intercept form that models this situation.

Answer 8

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______

constant b/y-intercept:_______. Uint:_______

Equation:________________

Question 9

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

Answer 9

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 10

An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. The plane’s height and minutes above the ground are related to each other.

Answer 10

Variable _____Unit____ independent or dependent ?

Which symbol ____?

Variable _____Unit____ independent or dependent ?

Which symbol ____?

Constant ____ Unit____value_____ Which symbol?

Constant ____ Unit____value_____ Which symbol?

Equation:_______________________

Question 11

Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then each week thereafter, you add $5 to the account but no interest is earned. The amount in the account is a function of the number of weeks that have passed.

Answer 11

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 12

Nick is given $50 to spend on a vacation. He decides to spend $5 a day. The amount Nick has left and the number of days are related.

Answer 12

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 13

How to find the two variables?

How to find two constant:m/slope and b/y-intercept?

Answer 13

Answer these questions to help find x and y variable.

which one is the independent variable? which one is the dependent variable?

Which one change will cause another one to change?

m/slope usually is the ratie with unit as … per/each/every….

b/intercept: usually is the initial value of y variable.

constant may not be given directly, but keep constant during the whole time.

Question 14

Student council is selling T-Shirts during spirit week. It costs $20 for the design and $5 to print each shirt. Write an equation in slope-intercept form that models this situation.

Question 15

A taxi fare y can be determined by the equation y = 0.5x+3.5. what does this mean?

Question 16

Sam is reading a book with total 254 pages. The pages to be read and the number of days he already spent on reading this book is in a linear relationship. He can read 40 pages each day. Write an equation in slope- intercept form that models this situation.

Question 17

The Morgan family is traveling from Philadelphia to Orlando for vacation. The equation y= 1000 – 65x represents the distance remaining in the trip after x hours. What does the variable x and y mean? What does the constant 1000 and 65 mean?

Question 18

The lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 an hour for usage. Write an equation in slope-intercept form that models this situation.

Question 19

Jacquie likes to collect postcards. She already has 20 postcards in her collection. Each time she goes on vacation she buys 8 postcards to add to her collection. Write an equation in slope-intercept form that models this situation.

Question 20

The function below shows the cost of an ice cream with different numbers of toppings. y = 2.25 + 0.75x. What does the variable x and y mean? What does the constant 1000 and 65 mean?

Question 21

what does slope mean?

what does intercept mean?

Hint: think about draw a line in the number plane….

Answer 21

y-Intercept actually can be used find a point

(0,y-intercept)

Slope can be used find THE ONLY ONE line in many lines go through (0, y-intercept).

Question 22

Maria has $440 to pay a painter to paint her basement. The painter charges $55 per hour. Write an equation to represent the money she has left.

Answer 22

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 23

The total money(variable y $) Aaron earned by mowing lawns(variable x piece) can be represented by equation y = 15x +25. What does 15 here mean? And what does 25 mean?

Answer 23

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 24

The function below shows the cost(variable y) for Mrs. Franklin to go to a buffet with her grandchildren. here x is the number of her grandchildren with her.

y = 6.85 + 2.95x

a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Mrs. Franklin paid 18.65 for the buffet, how many of her grandchildren did she take to the buffet?

Answer 24

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 25

The function below shows the cost of a hamburger with different numbers of toppings (variable x).

y = 1.90 + 1.40x

a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Jodi paid $3.30 for a hamburger, how many toppings were on Jodi’s hamburger?

Answer 25

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 26

The function below shows the cost of an ice cream sundae with different numbers of toppings (t).

f(t) = 2.25 + 0.75t

a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Kaye paid $6.00 for a sundae, how many toppings were on Kaye’s sundae?

Answer 26

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 27

The function below shows the cost to attend the fair if you ride r rides.

f(r) = 5 + 1.75r

a. What is the y-intercept, and what does it mean?
b. What is the slope, and what does it mean?
c. If Al spent $19.00 at the fair, how many rides did Al ride?

Answer 27

variable y: ________ Unit:_______

variable x: ________ Unit:_______

contant m/slope: ________ Unit:_______ value____

constant b/y-intercept:_______. Uint:_______value____

Equation:________________

Question 28

The parking place put a notice on the board which says that: the parking fee for the first hour is $10, after first hour, it will charge $3 for each hour. write an equation in slope-intercept form to represent the relationship between cost and the time to park in this parking place.

Question 29

The True Online company in Thailand offers internet service to their customers. And the customer needs to pay an 890Bath Entry fee, and then for each month of usage, the customer needs to pay a monthly fee of 599Baht. Write an equation for this.

If the customer uses the internet service for 10 months, how much should he pay?