Adelivery 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

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol