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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=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

(30,4) and (35,8)
left parenthesis 30 comma 4 right parenthesis and left parenthesis 35 comma 8 right parenthesis

(2,22.5) and (4,20)
left parenthesis 2,22.5 right parenthesis and left parenthesis 4 comma 20 right parenthesis

(4,30) and (8,35)
left parenthesis 4 comma 30 right parenthesis and left parenthesis 8 comma 35 right parenthesis
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3 answers

To determine which points correspond to the function \( C = 1.25m + 25 \), we can calculate the total cost \( C \) for each given \( m \).

  1. For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \]

  2. For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \]

  3. For \( m = 30 \): \[ C = 1.25(30) + 25 = 37.5 + 25 = 62.5 \]

  4. For \( m = 35 \): \[ C = 1.25(35) + 25 = 43.75 + 25 = 68.75 \]

  5. For \( m = 2 \): \[ C = 1.25(2) + 25 = 2.5 + 25 = 27.5 \quad \text{(same as before)} \]

  6. For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \quad \text{(same as before)} \]

  7. For \( m = 4 \): \[ C = 1.25(4) + 25 = 5 + 25 = 30 \]

  8. For \( m = 8 \): \[ C = 1.25(8) + 25 = 10 + 25 = 35 \]

Now let's summarize the results for each proposed point:

  • (2, 2.5): Incorrect, \( C = 27.5 \)
  • (4, 5): Incorrect, \( C = 30 \)
  • (30, 4): Incorrect, \( C = 62.5 \)
  • (35, 8): Incorrect, \( C = 68.75 \)
  • (2, 22.5): Incorrect, \( C = 27.5 \)
  • (4, 20): Incorrect, \( C = 30 \)
  • (4, 30): Correct, \( C = 30 \)
  • (8, 35): Correct, \( C = 35 \)

None of the originally proposed points match the function.

However, based on the calculations, the correct points you would expect to see would be:

  • (2, 27.5)
  • (4, 30)
  • (30, 62.5)
  • (35, 68.75)
  • (8, 35)

So, there seems to be a confusion in the provided options. The only points that fit the equation are not listed correctly in your options.

so a b c or d

Let's clarify the calculations for the options provided to find the correct response based on the equation \( C = 1.25m + 25 \).

  1. For option (2, 2.5) and (4, 5):

    • \( C(2) = 1.25(2) + 25 = 2.5 + 25 = 27.5 \) → Not valid
    • \( C(4) = 1.25(4) + 25 = 5 + 25 = 30 \) → Not valid

  2. For option (30, 4) and (35, 8):

    • \( C(30) = 1.25(30) + 25 = 37.5 + 25 = 62.5 \) → Not valid
    • \( C(35) = 1.25(35) + 25 = 43.75 + 25 = 68.75 \) → Not valid

  3. For option (2, 22.5) and (4, 20):

    • \( C(2) = 1.25(2) + 25 = 27.5 \) → Not valid
    • \( C(4) = 1.25(4) + 25 = 30 \) → Not valid

  4. For option (4, 30) and (8, 35):

    • \( C(4) = 1.25(4) + 25 = 30 \) → Valid
    • \( C(8) = 1.25(8) + 25 = 10 + 25 = 35 \) → Valid

Based on these analyses:

  • The correct choice that matches the function is option d: (4, 30) and (8, 35).