Question

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

Answer 1

Answer:

see below

Step-by-step 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: $f(t)=P(1+ \frac{r}{n} )^{nt}$
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%
$r= \frac{12}{100}$
$r=0.12$
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:
$f(t)=920(1+ \frac{0.12}{4} )^{4t}$
$f(t)=920(1+0.03)^{4t}$
$f(t)=900(1.03)^{4t}$

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