Kevin delivers groceries to people’s homes. he charges a fixed rate per mile and also a fixed delivery fee. when kevin makes a 10-mile trip to deliver groceries, he charges $11. when he makes a 5-mile trip to deliver groceries, he charges $8.25. which equation could be used to determine the amount of money (y), in dollars, kevin will charge when he makes a trip of x miles to deliver groceries?

(a) y = 0.55x + 5.5

(b) y = 0.8x + 3

(c) y = x + 1

(d) y = 2x – 1.75

group of answer choices

(A)  

Step-by-step explanation:

Let m be the fixed rate charged by Kevin and n be the fixed delivery fee.

Equation for total charge: , where y is the amount of money ( in dollars) Kevin will charge when he makes a trip of x miles to deliver groceries.

Then, the system of equation for the given descriptions will be :-

Subtract equation (2) from equation (1), we get

Divide both sides by 5 , we get

Put m= 0.55 in (2), we get

Now, the equation could be used to determine the amount of money (y), in dollars, Kevin will charge when he makes a trip of x miles to deliver groceries will be :

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

well the answer to that is xoxoxo

step-by-step explanation: