Question

A bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilopascals. What will it be in 4 minutes?

Answer 1

699.626 kilopascals after 4 minutes

Explanation:

We can use the formula for simple interest to calculate the tire pressure after 4 minutes. Let's call the initial pressure "P", the rate of loss "r", and the time elapsed "t".

P = P * (1 - r)^t

Where r is the rate of loss in decimal form and t is the number of minutes elapsed.

Substituting the given values, we have:

P = 1,060 * (1 - 0.10)^4

P = 1,060 * (0.9)^4

P = 1,060 * 0.6561

P = 699.626 kPa

Therefore, the tire pressure will be 699.626 kilopascals after 4 minutes.