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