Question

PLEASE HELP ASAP

The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment. The steps to calculate an equivalent function are shown below:

[Step 1] f(x) = 800(1.09)3x
[Step 2] f(x) = 800(1.093)x
[Step 3] f(x) = 800(1.09 ⋅ 3)x
[Step 4] f(x) = 800(3.27)x

Which of the following is the first incorrect step?
A. Step 1
B. Step 2
C. Step 3
D. Step 4

Answer 1

Step 3

It is multiplying three instead of doing 9x9x9 she did 9x3

Answer 2

The in the calculation the step 3 is the first incorrect step.

Explanation:

The function
`f(x) = 800(1.09)^(3x)` shows the growth due to interest that Jim earns on an investment.

To get an equivalent function we are given the following steps:

[Step 1]
`f(x) = 800(1.09)^(3x)`

[Step 2]
`f(x) = 800(1.09^(3)) ^(x)`

[Step 3]
`f(x) = 800(1.09 * 3)^(x)`

[Step 4]
`f(x) = 800(3.27)^(x)`

The in the calculation the step 3 is the first incorrect step.

And this will be
`1.09^(3) = (1.09)^(3) = 1.295 \\eq   3.27` (Answer)