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

quit

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have