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.
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.