Question

A cheetah’s speed was timed over a 100- yard distance. The cheetah was clocked running 70 miles per hour. Which equation shows the relationship between the distance, y, and time, x, the cheetah runs?
A y=100x C y=100x+70
B y=70x+100 D y=70x

Answer 1

Answer with Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

Answer 2

Speed is the rate of change of distance over time.

The equation that shows the relationship is $y = 70x$

The given parameters are:

Distance = 100 yards

Speed = 70 miles per hour

Speed is calculated as:

$Speed = Distance / Time$

So, we have:

$70 = y/x$

Multiply both sides by x

$y = 70x$

Hence, the equation that shows the relationship is $y = 70x$

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