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. the initial value is 10. it represents the cost of the car wash. the rate of change is 4. it represents the cost of each gallon of gas. write an equation to represent the total cost, y. y = x +?

Explanation:

Step1: Identify the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope (rate of change) and $b$ is the y - intercept (initial value).

Step2: Determine the value of $m$

The rate of change (cost per gallon of gas) is $4$, so $m = 4$.

Step3: Determine the value of $b$

The initial value (cost of car - wash) is $10$, so $b = 10$.

Answer:

$y = 4x+10$