The doctor traveled to an African prairie to observe how fast a cheetah runs. He noticed that every 10 seconds the cheetah slowed down 4 1/2 miles per hour. The cheetah hod to slowdown a total of 15 times before it ran out of energy and had a speed of 0mph. What was the cheetahs top speed in decimal form.

1 answer

To find the cheetah's top speed in decimal form, we can start by finding its initial speed.

The cheetah slowed down 4 1/2 miles per hour every 10 seconds, which means it slowed down by a rate of 4.5/10 = 0.45 miles per hour per second.

Since it slowed down 15 times before coming to a stop, the total amount it slowed down is 0.45 * 15 = <<0.45*15=6.75>>6.75 miles per hour.

Therefore, the cheetah's initial speed was its top speed plus 6.75 miles per hour.

If we let x be the cheetah's top speed, we have the equation x + 6.75 = x + 0.

Subtracting x from both sides of the equation, we get 6.75 = 0.

Simplifying the equation, we get 6.75 = 0, which is not true.

This means that there is no solution to the equation, and the cheetah's top speed in decimal form is undefined.