Question

The graph below represents the rate that Suzy hops across the lawn. The equation represents the rate at which Suzy’s little sister Jessica hops across the lawn. Jessica gets a 15-meter head start.Who would you predict to win a 60-meter hopping race?

Answer 1

It is given that the graph represents Ms S and The equation represents Ms J.

The equation from the graph for Ms S is given by:

$\begin{gathered} \frac{y-0}{x-0}=\frac{10-0}{1-0} \\ y=10x \end{gathered}$

So in one minute, Ms S completes 10 meters.

She will complete 60 meters in the time calculated as follows:

$\begin{gathered} 60=10x \\ x=6 \end{gathered}$

So Ms S will complete the race in 6 minutes.

Now Ms J will compelete 60 meters in time calculated as follows:

$\begin{gathered} 60=8x+15_{} \\ 45=8x \\ x=\frac{45}{8}=5.625 \end{gathered}$

Hence Ms J will complete the race in 5.625 minutes.

Hence Ms J will win the race

Option B is correct.