Question

At 1 p.m., the number of cars in a parking lot is 78. Given the formula found in the first part of the question, An=78⋅1.09n, estimate the number of cars in the parking lot at 6 p.m. (Round your answer to the nearest whole number if necessary.)

Answer 1

Answer:

At 6 p.m., the number of cars in a parking lot is 120

Step-by-step explanation:

At 1 p.m., the number of cars in a parking lot is 78.

Given,

$A_n=78\cdot 1.09^n$

Note that

$A_0=78\cdot 1.09^0=78\cdot 1=78$

So, 1 p.m. goes for n = 0, then

6 p.m. goes for n = 5

Thus,

$A_5=78\cdot 1.09^5\approx 120$