Answer:
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
