Question

the graph shows a proportional relationship between the number of miles marco bikes and the number of hours. write an equation that relates the distance, y, and the time, x. marcos biking (graph: x-axis hours from 0 to 5, y-axis miles from 0 to 60, line through origin and (2,30) etc) y = x

Explanation:

Step1: Recall proportional relationship formula

For a proportional relationship, the equation is \( y = kx \), where \( k \) is the constant of proportionality (slope).

Step2: Find the slope \( k \)

From the graph, when \( x = 2 \), \( y = 30 \). Using the formula \( k=\frac{y}{x} \), substitute \( x = 2 \) and \( y = 30 \): \( k=\frac{30}{2}=15 \).

Answer:

\( y = 15x \) (so the value in the box is 15)