There is a slow leak in your bike tire. The average rate of change of air in your tire is -2 pounds per square inch per day. The amount of air in your tire is now 70 pounds per sqsquare inch. Find the amount of air that will be in your tire in 5 days
How about multiplying 2 pounds by 5 days? Then subtract your answer from 70.
70 - 2t, where t is the time in days (in this case, 5). That would give you an answer of 60 psi. (psi = Pounds per Square Inch)
A more accurate formula would take into account that the leak rate is proportional to tire pressure. They probably don't expect you to know that, since that involves physics.
The more accurate formula would be
70 *(68/70)^5 = 60.56 psi
find the sum of the first 22 terms of the arithmetic progression, if the firstr term is 3 and the common difference is -7.
To find the amount of air that will be in your tire in 5 days, we can use the average rate of change formula:
Average Rate of Change = (Change in Quantity) / (Change in Time)
In this case, the average rate of change is given as -2 pounds per square inch per day. The change in time is 5 days. We need to find the change in quantity, which is the change in the amount of air in the tire.
Let's call the initial amount of air in the tire A1 and the amount of air in the tire after 5 days A2. We are given that A1 = 70 pounds per square inch.
Using the average rate of change formula, we have:
-2 = (A2 - A1) / 5
Now we can solve for A2:
Multiply both sides of the equation by 5:
-2 * 5 = A2 - A1
-10 = A2 - 70
Add 70 to both sides of the equation:
A2 = -10 + 70
A2 = 60
Therefore, the amount of air that will be in your tire after 5 days is 60 pounds per square inch.