Question

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

Student A: The equation y = 13x represents the amount of money raised (y) for walking (x) miles.

Student B: $36 is raised after walking 3 miles.

Student C:

Miles Walked: 4 5
Money Raised: $52 $65
(Best way I can get the graph to upload)

Determine which student raised the least amount of money after walking 7 miles.
A. Student A
B. Student B
C. Student C
D. All three students raised the same amount of money after walking 7 miles.

Answer 1

After determining the rate of money raised per mile for each student and calculating the total for 7 miles, it is evident that b. Student B raised the least amount of money with a total of $84.

Step-by-step explanation:

The goal is to determine which student raised the least amount of money after walking 7 miles. We will compare the amounts raised by each student using linear equations.

• Student A's equation is given as y = 13x. For 7 miles, the money raised would be y = 13(7) = $91.
• Student B raised $36 after walking 3 miles, which implies a rate of $12 per mile ($36 ÷ 3 miles). So, after 7 miles, Student B would have raised 7 x $12 = $84.
• Student C raises $52 for 4 miles and $65 for 5 miles. The rate per mile is the change in money divided by the change in miles, which is ($65 - $52) ÷ (5 miles - 4 miles) = $13 per mile. Thus, after 7 miles, Student C would have raised 7 x $13 = $91.

After analyzing the data, Student B raised the least amount of money after walking 7 miles.