Question

Select the correct answer. The number of customers in a store during the midday hours of 10 a.m. to 5 p.m. can be modeled by this function, where n is the number of customers t hours after 10 a.m. Rewrite the equation to reveal the minimum number of customers. At what time does that minimum occur? A. B. C. D.

Answer 1

The time at which the minimum likely occurred is: A. n = 2(t - 2)² + 7: 12 Pm.

How to determine when the minimum occur?

First of all, we would rewrite the equation by factorizing in order to reveal the minimum number of customers:

n = 2t² - 8t + 15

n = 2t² - 8t + 8 + 7

n = 2t² - 4t - 4t + 8 + 15 - 8

n = 2(t² - 4t + 4) + 15 - 8

n = 2(t² - 4t + 4) + 7

n = 2(t - 2)² + 7

When n = 2, we have:

n = 2(2 - 2)² + 7

n = 7.

Thus, the minimum likely occurred at n = 2(t - 2)² + 7: 12 Pm.

Read more on quadratic equation here: brainly.com/question/1214333

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Complete Question:

The number of customers in a store during the midday hours of 10 a.m. to 5 p.m. can be modeled by this function n = 2t² - 8t + 15, where n is the number of customers t hours after 10 a.m. Rewrite the equation to reveal the minimum number of customers. At what time does that minimum occur?

A. n = 2(t - 2)² + 7: 12 Pm.

B. n = 2(t - 2)² + 15: 2 Pm.

C. n = 2(t - 2)² + 7: 3 Pm.

D. n = 2(t - 4)² + 1: 4 Pm.