Question

malik rides his scooter at a constant rate. the table shows the proportional relationship between the time in seconds and the distance traveled in feet. the table has rows: 10 (time) with 110 (distance), 15 (time) with 165 (distance), 25 (time) with 275 (distance). there is a graph with x-axis as time (seconds) from 0 to 25, y-axis as distance traveled from 0 to 275. the graph has a line passing through points including (10,110), (15,165), (25,275). the question is to find the equation y= for the proportional relationship.

Explanation:

Step1: Identify the relationship type

The problem states a proportional relationship, so the equation is of the form \( y = kx \), where \( k \) is the constant of proportionality (rate).

Step2: Calculate the constant \( k \)

Using the table, when \( x = 10 \) (time in seconds), \( y = 110 \) (distance in feet). So \( k=\frac{y}{x}=\frac{110}{10} = 11 \).

Step3: Form the equation

Substitute \( k = 11 \) into \( y = kx \), we get \( y = 11x \).

Answer:

\( y = 11x \)