Example 3
Paul works 40 hours a week at an electronics store. He receives a weekly salary of $500, plus a 5% commission on his sales of more than $2,000. Last week, Paul sold enough to earn his commission. Given the functions and , where represents the total amount of sales, which composition function represents his commission, or ? Use to verify the results.
- Find the composition function and interpret the results in the context of the problem.
- Evaluate the function found in the previous step using the test value .
- Find the composition function and interpret the results in the context of the problem.
- Evaluate the function found in the previous step using the test value .
- Based on these results, which composition function represents Paul’s commission, or ?