Question
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
(1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55)
left parenthesis 1 comma 25 right parenthesis , left parenthesis 1.5 comma 32.5 right parenthesis , left parenthesis 2 comma 40 right parenthesis , left parenthesis 2.5 comma 47.5 right parenthesis , left parenthesis 3 comma 55 right parenthesis
(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
(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
(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
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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
(1,25), (1.5,32.5), (2,40), (2.5,47.5), (3,55)
left parenthesis 1 comma 25 right parenthesis , left parenthesis 1.5 comma 32.5 right parenthesis , left parenthesis 2 comma 40 right parenthesis , left parenthesis 2.5 comma 47.5 right parenthesis , left parenthesis 3 comma 55 right parenthesis
(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
(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
(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
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Answers
GPT-4o mini
To determine how much Ari will make for different hours of work, we can create a function based on his pricing structure.
Ari's earnings can be described by the following function:
\[
E(h) = 10 + 15h
\]
where:
- \( E(h) \) is the total earnings after \( h \) hours of work,
- \( 10 \) is the flat rate,
- \( 15h \) represents the hourly charge.
Now we can calculate the earnings for \( h = 1, 1.5, 2, 2.5, 3 \) hours.
### Table of Earnings
| 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 | \( 10 + 15(3) = 55 \) |
From the table above, the ordered pairs that represent Ari's earnings based on hours worked are:
- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)
Thus, the correct response is:
**(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)**.
Ari's earnings can be described by the following function:
\[
E(h) = 10 + 15h
\]
where:
- \( E(h) \) is the total earnings after \( h \) hours of work,
- \( 10 \) is the flat rate,
- \( 15h \) represents the hourly charge.
Now we can calculate the earnings for \( h = 1, 1.5, 2, 2.5, 3 \) hours.
### Table of Earnings
| 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 | \( 10 + 15(3) = 55 \) |
From the table above, the ordered pairs that represent Ari's earnings based on hours worked are:
- \( (1, 25) \)
- \( (1.5, 32.5) \)
- \( (2, 40) \)
- \( (2.5, 47.5) \)
- \( (3, 55) \)
Thus, the correct response is:
**(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)**.