Question

Tom is training to run a race. He wants to run no more than 40 miles per week and increase the weekly distance that he runs by no more than 10% per week. If X represents the number of miles that Tom ran during the previous week, which of the following equations represents the number of miles (y) that Tom can run per week?

A) y = X + 4
B) y = X * 0.1
C) y = X + 10
D) y = 0.9X

Answer 1

The correct equation representing the miles Tom can run each week, based on the previous week's distance with a 10% increase, is y = X * 0.1, or equivalently y = 1.10X.

Step-by-step explanation:

The question asks to identify the equation that represents the number of miles (y) Tom can run in a week if he wants to increase the distance by no more than 10% each week. Given that X represents the distance run in the previous week, the equation that correctly represents the scenario is y = X + 0.10X. To express this as a percent increase, we multiply X by 0.10 (10%) and add it to X. Therefore, the correct choice is B) y = X * 0.1, which can be rewritten as y = 1.10X, meaning that Tom will run 110% of the previous week's mileage.