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.

Answer 1

To determine how much Ari will make based on the hours he works, we can create a function and then use a table to outline the earnings for specific hours worked.

Function

Let $E(h)$ be the total earnings Ari makes for working $h$ hours. The flat rate is $10, and he charges $15 per hour. The function can be expressed as:

$$E(h)=10+15h$$

Table of Earnings

Now, we'll calculate $E(h)$ for $h=1,1.5,2,2.5,$ and $3$.

| Hours Worked (h) | Earnings, $E(h)$ | |-------------------|----------------------| | 1 | $E(1)=10+15(1)=10+15=25$ | | 1.5 | $E(1.5)=10+15(1.5)=10+22.5=32.5$ | | 2 | $E(2)=10+15(2)=10+30=40$ | | 2.5 | $E(2.5)=10+15(2.5)=10+37.5=47.5$ | | 3 | $E(3)=10+15(3)=10+45=55$ |

Summary of 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 shows how much Ari will earn based on the hours he works.