Question

read the description of a proportional relationship.
craig is participating in a fun run to raise money for the west side childrens hospital. the run is held at craigs high school track. the more laps craig runs around the track, the more money he raises for the hospital. there is a proportional relationship between the number of laps craig runs, x, and the amount of money he raises for the hospital (in dollars), y.
if craig runs 1 lap, he raises $6. write the equation for the relationship between x and y.
y = \boxed{}

Explanation:

Step1: Recall proportional relationship formula

A proportional relationship is of the form \( y = kx \), where \( k \) is the constant of proportionality.

Step2: Find the constant of proportionality \( k \)

We know that when \( x = 1 \) (1 lap), \( y = 6 \) (6 dollars). Substitute into \( y = kx \):
\( 6 = k \times 1 \), so \( k = 6 \).

Step3: Write the equation

Substitute \( k = 6 \) into \( y = kx \), we get \( y = 6x \).

Answer:

\( 6x \)