Question

larry has outgrown the bike he rode when he was small. so, for his twelfth birthday, his parents surprise him with a five-speed blaze rider 2000! larry has never had a bike with multiple speeds before, and he is eager to learn how it works. he starts by testing the middle speed. there is a proportional relationship between the number of times larry pedals, x, and the number of times the wheels rotate, y. when he pedals 1 time, the wheels rotate 3 times. 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 \( k \)

Given when \( x = 1 \), \( y = 3 \). Substitute into \( y = kx \): \( 3 = k \times 1 \), so \( k = 3 \).

Step3: Write the equation

Substitute \( k = 3 \) into \( y = kx \), we get \( y = 3x \).

Answer:

\( 3x \)