Write an exponential function to model each situation. Find each amount after the specified time.

14. A population of 1,236,000 grows 1.3% per year for 10 years.

15. A population of 752,000 decreases 1.4% per year for 18 years.

16. A new car that sells for $18,000 depreciates 25% each year for 4 years.

14. X = 1236000(1.013^t)

1,406,413.169 at t = 10

15. X = 752000 × (0.86^t)

49,795.48457 at t = 18

16. X = 18000 × 0.75^t

5,695.3125 at t = 4

Step-by-step explanation:

14.

X = 1236000 × (1 + 1.3%)^t

X = 1236000(1.013^t)

At t = 10,

X = 1236000 × 1.013¹⁰

= 1406413.169

15. 752000 × (1 - 1.4%)^t

X = 752000 × (0.86^t)

At t = 18

X = 752000 + 0.86¹⁸

= 49795.48457

16.

X = 18000 × (1 - 25%)^t

X = 18000 × 0.75^t

At t = 4

X = 18000 × 0.75⁴

X = 5695.3125

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

do you have a picture of the table