Question

At 1 PM, the number of cars in the parking lot is 78, given the formula found in the first part of the question An=78•1.09^n Estimate the number of cars in the parking lot at 6 PM, round your answer to the nearest whole number if necessary.

A) 84
B) 92
C) 100
D) 109

Answer 1

The number of cars in the parking lot at 6 PM can be estimated using the formula An = 78 • 1.09^n, where n represents the number of hours after 1 PM.

Step-by-step explanation:

To estimate the number of cars in the parking lot at 6 PM, we can use the given formula An = 78 • 1.09^n, where n represents the number of hours after 1 PM. Since we want to estimate the number at 6 PM, n would be 5 (6 - 1 = 5). Plugging in the values into the formula, we get An = 78 • 1.09^5. Calculating the expression, we find that An is approximately 109. Therefore, the estimated number of cars in the parking lot at 6 PM is 109, which corresponds to option D.