The rate of change of the function is 37.5
The formula for calculating the rate of change is expressed as:
Rate = f(b)-f(a)/b-a
Given the function f(x) = 5(2)^x
f(5) = 5(2)^5
f(5) = 160
If x = 1
f(1) = 5(2)^1
f(1) = 10
Substitute the given values into the formula:
Rate of change = 160-10/5-1
Rate of change = 150/4
Rate of change = 37.5
Hence the rate of change of the function is 37.5
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