The cost to fill a car's tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the
function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck
whose tank size is 25 gallons.

Option (2)

Step-by-step explanation:

Table given in the question shows the relation between the size of tank (x) and cost of gas to fill the tank f(x).

Since, relation is a linear function in the form of f(x) = mx + b

Graph of the function will be straight line.

Here 'm' = slope of the line

b = y-intercept

Since, two points (9, 23.55) and (15, 36.75) lie on this line.

Slope of the line =

                           =

                           =

                           = 2.2

By substituting the value of 'm' in the equation,

f(x) = 2.2x + b

Since, the given line passes through (9, 23.55),

23.55 = 2.2(9) + b

b = 23.55 - 19.8

b = 3.75

Equation of the function will be,

f(x) = 2.2x + 3.75

Cost to fill the tank and a car wash with size of the tank = 25 gallons,

f(25) = 2.2(25) + 3.75

       = 55 + 3.75

       = $58.75

Therefore, Option (2) will be the answer.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2