Question

Pls help ASAP!!!!!

Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.

Answer 1

0. 116

Explanation:

The function is given as :-

`\boxed{f(d) = 5(1.02)^d }`

and we have to find the rate of change from d = 4 to d = 11

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

• 
  

f(4) =
`5(1.02)^4`

f(4) = 5 × 1. 08

f(4) = 5. 41

• 
  

f(11) =
`5(1.02)^11`

f(11) = 5 × 1. 24

f(11) = 6. 22

`\underline{Avg\:Rate \: of \: change} = (6. 22-5.41)/(11-4) \\ = (0.81)/(7) \\ = 0.116`

`\bigstar` Hence, the average rate of change is
`\red{\underline{\pmb{0. 116}}}`