Acar repair center services 920 cars in 2012. the number of cars serviced increases quarterly at a rate of 12% per year after 2012. create an exponential expression to model the number of cars serviced after t years. then, match each part of the exponential expression to what it represents in the context of the situation.

Step-by-step explanation:

The exponential model for the number of cars serviced after t years would be

A = P(1 + r/n)^nt

Where

A represents the total number of cars serviced after t years

P represents the initial number of cars serviced at the car repair center.

r represents the rate at which the number of cars serviced at the car repair center increased per year.

n represents the number of times that the number if cars increased per year.

t represents the number of years.

From the given information,

The car repair center serviced 920 cars in 2012. So P = 920

The number of cars serviced increases quarterly at a rate of 12% per year after 2012. This means that n = 4 and r = 12% = 12/100 = 0.12

The exponential model becomes

A = 920(1 + 0.12/4)^4t

A = 920(1.03)^4t

step-by-step explanation: i dont