Let f(x)-1/2x-5. The average rate of change from x = 11 to x = 27 equals _____.

I don't understand f(x)-1/2x-5 This makes no sense to me. Do you mean f(x)= -1/(2x-5) ?

-0.0384153661

To find the average rate of change of a function from one point to another, you need to calculate the difference in the function values at those points and divide it by the difference in the x-values.

In this case, the function given is f(x) = (1/2)x - 5. We need to find the average rate of change from x = 11 to x = 27.

Step 1: Calculate the value of the function at x = 11:
f(11) = (1/2)(11) - 5 = 5.5 - 5 = 0.5

Step 2: Calculate the value of the function at x = 27:
f(27) = (1/2)(27) - 5 = 13.5 - 5 = 8.5

Step 3: Calculate the difference in the function values:
Difference in function values = f(27) - f(11) = 8.5 - 0.5 = 8

Step 4: Calculate the difference in x-values:
Difference in x-values = 27 - 11 = 16

Step 5: Calculate the average rate of change:
Average rate of change = (Difference in function values) / (Difference in x-values) = 8 / 16 = 0.5

Therefore, the average rate of change from x = 11 to x = 27 for the given function f(x) = (1/2)x - 5 is 0.5.