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13 February, 01:21

A delivery costs $2.75 per mile plus an additional $35 delivery fee, such that a delivery of 40 miles costs $145. If C (m) represents the total cost of the delivery service, in dollars, based on m miles, which statement is true?

A) The y-intercept of the function is 35, and the slope of the function is 2.75

B) The y-intercept of the function is 35, and the slope of the function is 3.625

C) The y-intercept of the function is 40, and the slope of the function is 2.75

D) The y-intercept of the function is 40, and the slope of the function is 3.625

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Answers (1)
  1. 13 February, 03:09
    0
    The y-intercept of the function is 35, and the slope of the function

    is 2.75 ⇒ answer A

    Step-by-step explanation:

    - A delivery costs $2.75 per mile plus an additional $35 delivery fee

    - The delivery of 40 miles costs $145

    - C (m) represents the total cost of the delivery service, in dollars, based

    on m miles

    - We need to know, which statement is true

    ∵ The number of miles is m

    ∵ The cost per mile is $2.75

    ∵ The additional delivery fee is $35

    ∵ c (m) represents the total cost of the delivery service

    ∴ c (m) = 2.75 m + 35

    - If m = 40, then c (m) = 145 lets check that

    - Substitute m in the function by 40

    ∵ c (m) = 2.75 * 40 + 35

    ∴ c (m) = 110 + 35 = 145

    ∴ c (m) = 2.75 m + 35 is a correct function

    - The form of a linear function is f (x) = mx + c, where m is the slope of

    the function and c is the y-intercept

    ∵ c (m) = 2.75 m + 35

    ∴ c (m) represents a linear function which has slope 2.75 and

    y-intercept 35

    * The true statement is:

    The y-intercept of the function is 35, and the slope of the

    function is 2.75
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