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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?

The graph below represents the rate that Suzy hops across the lawn The equation represents the rate at which Suzys little sister Jessica hops across the lawn Je class=

Respuesta :

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:

[tex]\begin{gathered} \frac{y-0}{x-0}=\frac{10-0}{1-0} \\ y=10x \end{gathered}[/tex]

So in one minute, Ms S completes 10 meters.

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

[tex]\begin{gathered} 60=10x \\ x=6 \end{gathered}[/tex]

So Ms S will complete the race in 6 minutes.

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

[tex]\begin{gathered} 60=8x+15_{} \\ 45=8x \\ x=\frac{45}{8}=5.625 \end{gathered}[/tex]

Hence Ms J will complete the race in 5.625 minutes.

Hence Ms J will win the race

Option B is correct.

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