Question

Ari is starting a yard service business. He charges a flat rate of $10 plus an additional $15 per hour, regardless of the service. Create a function and use a table to determine how much Ari will make if he works for 1, 1.5, 2, 2.5, and 3 hours.(1 point)

Answer 1

To model Ari's earnings, we can create a function based on his pricing structure.

Ari's total earnings \( E \) can be calculated with the following function:

\[
E(h) = 10 + 15h
\]

where:
- \( E(h) \) is the total earnings after working \( h \) hours,
- \( 10 \) is the flat rate he charges,
- \( 15h \) is the additional amount he earns based on the hourly rate.

Now, we can create a table to determine Ari's earnings for various hours worked (1, 1.5, 2, 2.5, and 3 hours):

| Hours Worked (h) | Total Earnings \( E(h) \) |
|------------------|----------------------------|
| 1 | \( 10 + 15(1) = 25 \) |
| 1.5 | \( 10 + 15(1.5) = 32.5 \) |
| 2 | \( 10 + 15(2) = 40 \) |
| 2.5 | \( 10 + 15(2.5) = 47.5 \) |
| 3 | \( 10 + 15(3) = 55 \) |

Now let's summarize the total earnings results:

- If Ari works for 1 hour, he will earn **$25**.
- If Ari works for 1.5 hours, he will earn **$32.50**.
- If Ari works for 2 hours, he will earn **$40**.
- If Ari works for 2.5 hours, he will earn **$47.50**.
- If Ari works for 3 hours, he will earn **$55**.

This table provides an overview of Ari's earnings based on the hours he works.