Ratios

Question 1

Ratios of some quantity x to some quantity y can be expressed as

Answer 1

a/y. x:y or x to y

Question 2

Information that Ratio expresses

Answer 2

1) How one part of the ratio relates to the other part of the ratio
2) How one part of the ratio relates to the whole

Question 3

A ratio alone does not provide

Answer 3

actual quantities

-> ratio only portrays a relationship between quantities

Question 4

If the ratio of quantity A to quantity B is a to b and x is the multiplier, then ax represents

Answer 4

the actual amount of quantity A and bx represents the actual amount of quantity B

Question 5

Determining the ratio multipliers

1: We are given the quantity of one of the items in the ratio

Answer 5

we are given one and we use that info to determine the other one

Question 6

Determining the ratio multipliers

2: We are given the sum of all the items in the ratio

Answer 6

In any ratio, the sum of each item must equal the total number of items being considered in the ratio
-> use the sum to proportion

Question 7

Using like variables in the ratio

Answer 7

compare, when you can, only items that have the same variables

Question 8

Ratio where you have 3 or more variables

Answer 8

Find the common variables between the two ratios. And the easiest way to do is through LCM.

Question 9

Adding and subtracting to

Answer 9

achieve the desired ratio

-> add or subtract a number in numerator or denominator to get the desired ratio

Question 10

Adjusting ratios with multiplication and division

Answer 10

sometimes the ratio can be cut in half, multiplied by and so on

Question 11

Evaluating Ratios in the form of fractions

Answer 11

Ratio is another way of stating a fraction and that as a consequence, ratios share all of the qualities of fractions

1. If the numerator of a fraction increases while the denominator remains constant or decreases, the value of the fraction increases
2. If the denominator of a fraction increases while the numerator remains constant or decreases, the value of the fraction decreases

Question 12

Direct variation

Answer 12

you have some constant K that can be applied to both

• > Given two variables, a and y, if y=kx for some positive constant k, then x and y are said to vary directly with each other, and k is called the constant of variation
• > When x increases, y increases, and when x decreases, y decreases

Question 13

Inverse Variation

Answer 13

If the value of one variable (x) increases while that of a second variable (y) decreases and they are inversely proportional, then they are related by the equation y=k/x or xy=k, where k is a positive constant

Question 14

If x were directly proportional to y and inversely proportional to z, how would we express this in an equation

Answer 14

x= k1y