Question

A retail store is having a back-to-school sale on Chromebooks. At 10 am, the store has sold 8 Chromebooks. At 7 pm, the store discovers that it has sold 32 Chromebooks. What is the average rate of change between 10 am and 7 pm?

Answer 1

The average rate of change in the number of Chromebooks sold between 10 am and 7 pm is 2.7 Chromebooks per hour.

Step-by-step explanation:

To find the average rate of change of Chromebook sales between 10 am and 7 pm, we need to calculate the change in the number of Chromebooks sold and divide it by the change in time. The store sold 32 Chromebooks by 7 pm and had sold 8 Chromebooks by 10 am. Therefore, the change in the number of Chromebooks sold is 32 - 8 = 24 Chromebooks.

The time between 10 am and 7 pm is 9 hours (since there are 9 hours from 10 am to 7 pm: 10-11, 11-12, 12-1, 1-2, 2-3, 3-4, 4-5, 5-6, 6-7). So we divide the total number of Chromebooks sold, 24, by the number of hours, 9, to get the average rate of change.

The average rate of change is therefore 24 Chromebooks ÷ 9 hours = 2.7 Chromebooks per hour.