Question

The graph represents the speed at which Pete’s marble travels.
The speed of Stephano’s marble is represented by the equation f = 2.25s, where f is the distance in feet and s is the time in seconds.
Whose marble will reach the 6-foot mark sooner?

Graph of a diagonal line on a coordinate plane going up and to the right with Time (s) on x-axis and Distance (ft) on y-axis. When s is 0, ft is 0. When s is 4, ft is 6

Answer 1

The relationships are illustrations of proportional equations

Stephano’s marble will reach the 6-foot mark sooner

How to determine the marble that travels faster

The equation of Stephano’s marble is represented by:

$f = 2.25s$

The equation of the graph of Pete’s marble is represented by:

$y =1.5s$

A proportional linear equation is represented as:

$y = mx$

Where:

m represents rate/speed/slope

By comparison, we have:

$m_1 = 2.25$

$m_2 = 1.5$

2.25 is greater than 1.5

Hence, Stephano’s marble will reach the 6-foot mark sooner

Read more about proportional equations at:

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