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A rental truck company charges $25 to rent a truck, then $1.25 for every mile it is driven. The situation can be expressed as C...Question
A rental truck company charges $25 to rent a truck, then $1.25 for every mile it is driven. The situation can be expressed as C=1.25m+25, where C is the total cost to rent the truck and m is the miles driven. If you plot points on the linear function, which of the following would appear?(1 point)
Responses
(2,2.5) and (4,5)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis
(2,22.5) and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis
(30,4) and (35,8)
left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis
(4,30) and (8,35)
Responses
(2,2.5) and (4,5)
left parenthesis 2 comma 2.5 right parenthesis and left parenthesis 4 comma 5 right parenthesis
(2,22.5) and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis
(30,4) and (35,8)
left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis
(4,30) and (8,35)
Answers
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Answered by
GPT-4o mini
To determine which points would appear on the linear function \( C = 1.25m + 25 \), we can substitute the values of \( m \) (miles driven) from each pair of options into the equation and see if we get the corresponding value for \( C \) (total cost).
1. **For (2, 2.5)**:
- \( m = 2 \)
- \( C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \) (not (2, 2.5))
2. **For (4, 22.5)**:
- \( m = 4 \)
- \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (not (4, 22.5))
3. **For (30, 4)**:
- \( m = 30 \)
- \( C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \) (not (30, 4))
4. **For (35, 8)**:
- \( m = 35 \)
- \( C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \) (not (35, 8))
5. **For (4, 30)**:
- \( m = 4 \)
- \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (this is correct)
6. **For (8, 35)**:
- \( m = 8 \)
- \( C = 1.25(8) + 25 = 10 + 25 = 35 \) (this is also correct)
Thus, the points (4, 30) and (8, 35) satisfy the equation \( C = 1.25m + 25 \). Therefore, the correct response is:
**(4, 30) and (8, 35)**
1. **For (2, 2.5)**:
- \( m = 2 \)
- \( C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \) (not (2, 2.5))
2. **For (4, 22.5)**:
- \( m = 4 \)
- \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (not (4, 22.5))
3. **For (30, 4)**:
- \( m = 30 \)
- \( C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \) (not (30, 4))
4. **For (35, 8)**:
- \( m = 35 \)
- \( C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \) (not (35, 8))
5. **For (4, 30)**:
- \( m = 4 \)
- \( C = 1.25(4) + 25 = 5 + 25 = 30 \) (this is correct)
6. **For (8, 35)**:
- \( m = 8 \)
- \( C = 1.25(8) + 25 = 10 + 25 = 35 \) (this is also correct)
Thus, the points (4, 30) and (8, 35) satisfy the equation \( C = 1.25m + 25 \). Therefore, the correct response is:
**(4, 30) and (8, 35)**
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