Answer:
Explanation:
To find the percentage rate of change of the function f(p) = 3p + 1 at p = 1, we need to calculate the rate of change and express it as a percentage.
First, let's find the rate of change by calculating the difference in the function values divided by the difference in p-values:
Rate of Change = (f(1) - f(0)) / (1 - 0)
= (3(1) + 1 - (3(0) + 1)) / 1
= (3 + 1 - 1) / 1
= 3
The rate of change of the function f(p) = 3p + 1 at p = 1 is 3.
To express this rate of change as a percentage, we can multiply it by 100:
Percentage Rate of Change = Rate of Change * 100
= 3 * 100
= 300%
Therefore, the percentage rate of change of the function f(p) = 3p + 1 at p = 1 is 300%