Question

The function f(x) = 500(1.08)4x shows the growth due to interest that vincent earns on an investment. the steps to calculate an equivalent function are shown: step 1 f(x) = 500(1.08)4x step 2 f(x) = 500(1.084)x step 3 f(x) = 500(1.36048896)x step 4 f(x) = 680.24448x which of the following is the first incorrect step? (1 point) step 1 step 2 step 3 step 4

Answer 1

The first incorrect step in the function transformation process is Step 4, which incorrectly multiplies the principal by the exponent x instead of raising the calculated base to the power of x.

Step-by-step explanation:

The function f(x) = 500(1.08)4x is meant to show the growth due to interest that Vincent earns on an investment. The first incorrect step in the sequence provided is Step 4. Let's examine why by processing each step:

• Step 1: Stating the function.
• Step 2: Applying the exponent to 1.08 which is correct because of the rules of exponents ((a^m)^n = a^(m*n)).
• Step 3: Calculating (1.08)^4 correctly results in 1.36048896.
• Step 4: This step incorrectly multiplies the principal of 500 by the exponent x, instead of raising the base of 1.36048896 to the power of x.

The correct transformation should be f(x) = 500 × (1.36048896)^x.