Plug values in function.
f(3) = 0.01(2)(3)
f(3) = 0.06
f(5) = 0.01(2)(5)
f(5) = 0.10
Average rate of change formula: f(b) - f(a) / b - a
Plug in.
0.10 - 0.06 / 5 - 3 = 0.04 / 2 = 0.02
Average rate of change: 0.02
Answer:
The Average rate of change: 0.02
Step-by-step explanation:
Great Question, First to be able to figure out the average rate of change for the function we need to plug each value for x given into the function and get an output value
[tex]f(3) = 0.01(2)(3)[/tex]
[tex]f(3) = 0.06[/tex]
[tex]f(15) = 0.01(2)(15)[/tex]
[tex]f(15) = 0.3[/tex]
Now that we have both outputs for the values of x given to us in the question, we can use the rate of change formula from the picture below to find the Rate of Change of these two values of x.
[tex]\frac{0.3-0.06}{15-3} = r[/tex]
[tex]\frac{0.24}{12} = r[/tex]
[tex]0.02 = r[/tex]
So Now we see that The Average rate of change: 0.02
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