Exponential vs. Linear Growth

Question 1

What is the exponential equation?

Answer 1

y=a(x^t), where:
a is the initial amount
x is the rate it is multiplied by
t is the time period or how many times it is multiplied by
y is the amount of stuff remaining after t years

Question 2

What is the difference in the equations of exponential decay and growth?

Answer 2

Given the equation y=a(x^t), in
exponential growth: x is > 1, *because as time increase a percentage of a + the initial a amount remains
exponential decay: x is < 1, *because as time increases only a percentage of a remains

Question 3

Difference between exponential and linear growth

Answer 3

Linear growth: the slope is constant

Exponential growth: the slope becomes steeper as time passes

Question 4

Difference between a negative and positive association

Answer 4

(+): as the independent variable increases the dependant variable increases
(-): as the independent variable increases the dependent variable decreases

Question 5

What is the linear equation?

Answer 5

y=mx+b, where
m is the rate of change
x is the dependant variable (usually time)
b is the initial amount