Question

Three students are participating in a walkathon. The data for each student is shown.

Student A: The equation y = 15x represents the amount of money raised (y) for walking (x) miles.

Student B: $45 is raised after walking 3 miles.

Student C:

Miles Walked 5 7
Money Raised $75 $105


Determine which student raised the least amount of money after walking 6 miles.


Student A
Student B
Student C
All three students raised the same amount of money after walking 6 miles.

Answer 1

Explanation:

all 3 students raised the same amount of money after walking 6 miles.

their data indicates that all 3 follow the function

y = 15x

after 3 miles : 15×3 = $45

after 5 miles : 15×5 = $75

after 7 miles : 15×7 = $105

so, they always raise the same amount of money, no matter how long they walk, as long as they walk the same distance.

after 6 miles : 15×6 = $90