Question

Maya is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission for every computer sale she makes. The equation P = 80 + 12.50x represents Maya's total pay on a day on which she sells x computers. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Layla is going to drive from her house to City A without stopping. Layla plans to drive at a speed of 30 miles per hour, and her house is 240 miles from City A. Write an equation for D, in terms of t, representing Layla's distance from City A t hours after leaving her house.

Answer 1

The y-intercept of the equation P = 80 + 12.50x is 80, which represents Maya's base pay amount. The equation for Layla's distance from City A t hours after leaving her house is D = 30t + 240, with a slope of 30 representing her driving speed.

Step-by-step explanation:

The y-intercept of the equation P = 80 + 12.50x is 80. In the context of the problem, this means that Maya's total pay on a day when she doesn't sell any computers (x = 0) is $80, which represents her base pay amount.

For the second part of the question, the distance D that Layla is from City A t hours after leaving her house can be represented by the equation D = 30t + 240. Layla's house is 240 miles from City A, and she is driving at a speed of 30 miles per hour. The slope of the equation is 30, which represents the speed at which Layla is driving.