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.

The cost of a fill-up and a car wash for a customer with a truck whose tank size is 25 gallons is

An equation for the function in slope-intercept form is,

--------1

Represent the total cost of filling and washing

Represent the cost of filling the tank of a car with gasoline.

Tank size is

Cost of car wash is

Total cost

Find value of slope i.e,

Find Cost of Car wash

Put value in eq 1

Hence, equation for the function in slope-intercept form is ,

Now if the tank capacity is gallons ,

Hence, the cost of a fill-up and a car wash for a customer with a truck whose tank size is 25 gallon is

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For this case we have a linear function of form:

Where:

y: Represents the total cost of filling and washing

m: Represents the cost of filling the tank of a car with gasoline

x: Represents the capacity of the tank

b: Represents the cost of car washing

To find the slope, we need two points. Be:

Substituting in the formula of the slope, we have:

To find the cost of the car wash, that is, "b", we substitute the slope and any of the points in the equation :

Thus, the cost of a fill-up and a car wash for a customer is: , where x represents the tank capacity of the car to be treated.

If the tank capacity of the truck is 25 gallons, we substitute

Thus, the total cost to fill and wash the truck is 55.75 dollars.

Option A