Question

90 points please help!!!!!!!!

Answer 1

see below

Explanation:

Rate: tile saying the quarterly rate of growth is 0.03 or 3%

Exponent: tile saying the growth factor is represented by 1.03

Coefficient: tile saying the compound periods multiplied by number of years is 4t

Base: tile saying the initial number of cars serviced is 920

Answer 2

To model this situation, we are going to use the exponential function:
`f(t)=P(1+ (r)/(n) )^(nt)`
where

`P` is the initial number of cars

`r` is the growing rate in decimal form

`n` is number of tames the growing rate is increasing per year

`t` is the time in years

To convert the growing rate to decimal form, we are going to divide the rate by 100%

`r= (12)/(100)`

`r=0.12`
Since the growing rate is increasing quarterly,
`n=4`. We also know that the initial number of cars is 920, so
`P=920`. Lets replace all those values in our function:

`f(t)=920(1+ (0.12)/(4) )^(4t)`

`f(t)=920(1+0.03)^(4t)`

`f(t)=900(1.03)^(4t)`

We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03