Question

The function f(x) = 800(1. 09)4x 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)4x


[Step 2] f(x) = 800(1. 094)x


[Step 3] f(x) = 800(1. 4116)x


[Step 4] f(x) = (1129. 27)x


Which of the following is the first incorrect step?


Step 1

Step 2

Step 3

Step 4

Answer 1

Step 2 is incorrect

Explanation:

I'll assume that the correct format for the equation is

x) = 800(1. 09)4x

In going from Step 1 to 2, the 4 is merely shifted into the bracket to form 1.094. It should be multiplied by 1.09 to yield 1.4116, as shown in Step 3.

[Step 1] f(x) = 800(1. 09)4x

[Step 2] f(x) = 800(1. 094)x WRONG

[Step 3] f(x) = 800(1. 4116)x OK

[Step 4] f(x) = (1129. 27)x OK

Step 2 is incorrect.