To create a function that represents how much Ari makes based on the number of hours he works, we can define a function \( f(h) \) where \( h \) is the number of hours worked.
The total charge Ari makes is composed of a flat rate of $10 plus an additional $15 per hour. Thus, the function can be expressed as:
\[ f(h) = 10 + 15h \]
Now, we can use this function to create a table showing how much Ari will make if he works for 1, 1.5, 2, 2.5, and 3 hours.
| Hours Worked (h) | Total Earnings (f(h)) | |-------------------|-----------------------| | 1 | \( f(1) = 10 + 15(1) = 10 + 15 = 25 \) | | 1.5 | \( f(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5 \) | | 2 | \( f(2) = 10 + 15(2) = 10 + 30 = 40 \) | | 2.5 | \( f(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5 \) | | 3 | \( f(3) = 10 + 15(3) = 10 + 45 = 55 \) |
Summary of Total Earnings:
- For 1 hour: $25
- For 1.5 hours: $32.50
- For 2 hours: $40
- For 2.5 hours: $47.50
- For 3 hours: $55
This table clearly shows how much Ari will make depending on the number of hours he works.