Question

Aaron's grandmother gives him $10 for a charity marathon (a one-time donation). His uncle gives him $2.50 per mile. He wants to write an equation in slope-intercept form to represent the total amount of money he has earned after x miles. Which equation could he use to figure it out?

a) y = 2.50x + 10
b) y = 10x + 2.50
c) y = 10 + 2.50x
d) y = 2.50 + 10x

Answer 1

The correct equation for Aaron to calculate the total amount earned is y = 2.50x + 10, where 2.50 is the amount per mile from his uncle, and 10 is the initial donation from his grandmother.

Step-by-step explanation:

The equation to represent the total amount of money Aaron has earned after x miles for a charity marathon is in the form y = mx + b, where m is the slope and b is the y-intercept. Aaron's grandmother's one-time donation is the y-intercept (starting amount when x is zero), and his uncle's per mile donation represents the slope (rate of change).

The correct equation that Aaron could use to figure out the total amount earned is a) y = 2.50x + 10. Here, 2.50 is the slope (representing the $2.50 per mile from his uncle), and 10 is the y-intercept (the initial $10 from his grandmother).