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)
Responses

(1,5)
, (1.5,7.5)
, (2,10)
, (2.5,12.5)
, (3,15)
left parenthesis 1 comma 5 right parenthesis , left parenthesis 1.5 comma 7.5 right parenthesis , left parenthesis 2 comma 10 right parenthesis , left parenthesis 2.5 comma 12.5 right parenthesis , left parenthesis 3 comma 15 right parenthesis

(15,1)
, (17.5,1.5)
, (20,2)
, (22.5,2.5)
, (25,3)
left parenthesis 15 comma 1 right parenthesis , left parenthesis 17.5 comma 1.5 right parenthesis , left parenthesis 20 comma 2 right parenthesis , left parenthesis 22.5 comma 2.5 right parenthesis , left parenthesis 25 comma 3 right parenthesis

(1,16)
, (1.5,16.5)
, (2,17)
, (2.5,17.5)
, (3,18)
left parenthesis 1 comma 16 right parenthesis , left parenthesis 1.5 comma 16.5 right parenthesis , left parenthesis 2 comma 17 right parenthesis , left parenthesis 2.5 comma 17.5 right parenthesis , left parenthesis 3 comma 18 right parenthesis

(1,25)
, (1.5,32.5)
, (2,40)
, (2.5,47.5)
, (3,55)

Answer 1

To create a function for Ari's yard service business, we can represent his earnings as follows:

Let \( h \) be the number of hours Ari works. His total earnings \( E(h) \) can be calculated using the function:

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

Now, we can calculate his earnings for \( h = 1, 1.5, 2, 2.5, \) and \( 3 \) hours and create a table.

\[
\begin{align*}
h & \quad E(h) \\
1 & \quad E(1) = 10 + 15(1) = 25 \\
1.5 & \quad E(1.5) = 10 + 15(1.5) = 32.5 \\
2 & \quad E(2) = 10 + 15(2) = 40 \\
2.5 & \quad E(2.5) = 10 + 15(2.5) = 47.5 \\
3 & \quad E(3) = 10 + 15(3) = 55 \\
\end{align*}
\]

So the table of results is:

- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)

Thus, the output that matches our calculations is:

\[
(1, 25), \, (1.5, 32.5), \, (2, 40), \, (2.5, 47.5), \, (3, 55)
\]

None of the response options you provided match the correct output based on the calculations above.