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Question
.Jeff and Lauryn are long-distance runners.

Jeff's race time, based on his average pace, is represented by the equation y=9x, where x is the number of miles and y is the number of minutes.

Lauryn's average pace is represented in this graph.


If Jeff and Lauryn run a 10k (a 6.2-mile race), who will win? Why?

Select two answers: one for the winner of the race and one for the reason they won.

Responses

Lauryn's pace is 9 minutes per mile, so Jeff is slower at 10 minutes per mile.
Lauryn's pace is 9 minutes per mile, so Jeff is slower at 10 minutes per mile.

Lauryn wins.
Lauryn wins.

Lauryn's pace is 10 miles per minute, so Jeff is slower at 9 miles per minute.
Lauryn's pace is 10 miles per minute, so Jeff is slower at 9 miles per minute.

Lauryn's pace is 10 minutes per mile, so Jeff is faste


Question Jeff And Lauryn Are Longdistance Runners Jeffs Race Time Based On His Average Pace Is Represented By The Equation Y9x Where X Is The Number Of Miles An class=

Sagot :

Lauryn's race time equation is y = 10x. Thus,  Lauryn's pace is 10 minutes per mile, so Jeff is faster. Jeff will win.

How to determine who will win the race between Jeff and Lauryn?

Given that:

Jeff's race time is represented by the equation y=9x

You will find Lauryn's race time equation in the graph:

The equation of the line is of the form y = mx

where m is the slope

m = 20-0 / 2-0 = 20/2 = 10

Thus,  Lauryn's race time equation is y = 10x

For a 10k, the race time for Jeff will be:

y = 9x

y = 9×10 = 90 minutes

For a 10k, the race time for Lauryn will be:

y = 10x

y = 10×10 = 100 minutes

Therefore, Lauryn's pace is 10 minutes per mile, so Jeff is faster. Jeff wins.

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