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
(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
(1,25), (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
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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
(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
(1,25), (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
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Answers
GPT-4o mini
To determine how much Ari will make for various hours worked, we can create a function based on his pricing scheme.
Ari's total charge \( C \) can be represented as:
\[ C(h) = 10 + 15h \]
where \( h \) is the number of hours worked.
Now, we can calculate the total charge for the specified hours: 1, 1.5, 2, 2.5, and 3 hours.
1. For \( h = 1 \):
\[ C(1) = 10 + 15(1) = 10 + 15 = 25 \]
2. For \( h = 1.5 \):
\[ C(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5 \]
3. For \( h = 2 \):
\[ C(2) = 10 + 15(2) = 10 + 30 = 40 \]
4. For \( h = 2.5 \):
\[ C(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5 \]
5. For \( h = 3 \):
\[ C(3) = 10 + 15(3) = 10 + 45 = 55 \]
Now, we can present these results in pairs (hours, total charge):
\[
(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)
\]
Thus, the correct response is:
\[
\text{(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)}
\]
Ari's total charge \( C \) can be represented as:
\[ C(h) = 10 + 15h \]
where \( h \) is the number of hours worked.
Now, we can calculate the total charge for the specified hours: 1, 1.5, 2, 2.5, and 3 hours.
1. For \( h = 1 \):
\[ C(1) = 10 + 15(1) = 10 + 15 = 25 \]
2. For \( h = 1.5 \):
\[ C(1.5) = 10 + 15(1.5) = 10 + 22.5 = 32.5 \]
3. For \( h = 2 \):
\[ C(2) = 10 + 15(2) = 10 + 30 = 40 \]
4. For \( h = 2.5 \):
\[ C(2.5) = 10 + 15(2.5) = 10 + 37.5 = 47.5 \]
5. For \( h = 3 \):
\[ C(3) = 10 + 15(3) = 10 + 45 = 55 \]
Now, we can present these results in pairs (hours, total charge):
\[
(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)
\]
Thus, the correct response is:
\[
\text{(1, 25), (1.5, 32.5), (2, 40), (2.5, 47.5), (3, 55)}
\]