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

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