Question

Joe started a tutoring job and earns $40 per week tutoring his classmates. He bought a new iPad to help with his tutoring job for $150. Write a linear equation that represents Joe's money, y, after x amount of weeks.

Answer 1

Joe's financial situation from his tutoring job over the weeks can be expressed by the linear equation y = 40x - 150, where x represents the number of weeks, and y is the total money he has, factoring in his initial iPad cost and weekly earnings.

Step-by-step explanation:

To write a linear equation that represents Joe's money, y, after x amount of weeks, you must consider two things: his initial expense (the cost of the iPad) and his weekly earnings from tutoring. Joe purchases an iPad for $150, which is a one-time cost, and then earns $40 every week from his job.

Let's denote the initial cost of the iPad as C and the weekly earnings as E. The total money Joe has after x weeks can be represented by the following linear equation:

y = E × x - C

Substituting the value of the iPad cost (C = $150) and Joe's weekly earnings (E = $40), we get:

y = 40x - 150

This equation shows Joe's financial situation over time related to his tutoring job. The variable x represents the number of weeks he has tutored, and y represents the total amount of money he has. The y-intercept is -150, indicating that he started with a debt of $150 (cost of the iPad). The slope is 40, signifying that Joe earns $40 each week from his tutoring job.

Answer 2

Joe earns $40 per week tutoring his classmates. However, he spent $150 on a new iPad. Therefore, his earnings after x weeks can be represented by the equation:

y = 40x - 150

where y is Joe's money after x amount of weeks.