Question

owen stops at a gas station. he pays for gas and a car wash. the table shows the total cost, y, as a function of the number of gallons of gas, x. describe the initial value of the function. the initial value is? . it represents the cost of? . number of gallons, x | total cost ($), y 0 | 10 3 | 22 6 | 34

Explanation:

Step1: Identify Initial Value

The initial value of a function (when it's a linear function represented by a table) is the value of \( y \) when \( x = 0 \). From the table, when \( x = 0 \) (number of gallons of gas is 0), \( y = 10 \).

Step2: Interpret Initial Value

Since \( x = 0 \) means 0 gallons of gas, the cost at \( x = 0 \) should represent the cost of the car wash (because there's no gas being bought, only the car wash).

Answer:

The initial value is \( 10 \). It represents the cost of the car wash.