The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute. In the 2008 Olympics, a Jamaican runner named Usain Bolt ran 100 meters in 9.69 seconds. What stride rate would Alberto need in order to match Usain Bolt’s speed in the 100-meter race? 1. 485 steps per minute 2. 516 steps per minute 3. 698 steps per minute 4. 808 steps per minute

Respuesta :

To match Usain Bolt's speed, Alberto needs to do 516 steps per minute.

What stride rate would Alberto need in order to match Usain Bolt’s speed?

We know that Usain Bolt's speed is given by:

S = (100m/9.69s) = 10.32 m/s

Notice that the linear function for Alberto's speed is on minutes, so we need to rewrite this speed to meters over minute.

1 min = 60 seg.

S =  10.32 m/s =  (10.32*60) m/min = 619.2 m/min

Now we need to solve.

619.2 = y = 1.2x

619.2/1.2 = x = 516

If x = 516, this means that Alberto must do 516 steps per minute.

If you want to learn more about linear functions:

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