Question

Modeling with mathematics, a service center charges a fee of x dollars for an oil change plus y dollars per quart of oil used. A sample of its sales record is shown. Write a system of linear equations that represents this situation. Find the fee and cost per quart of oil.

Answer 1

The system of linear equations is y = x + y. The fee is the y-intercept and the cost per quart of oil is the coefficient of x.

Step-by-step explanation:

The system of linear equations that represents the situation can be written as:

y = x + y

Where x represents the flat fee for an oil change and y represents the cost per quart of oil used. The fee can be found by looking at the y-intercept of the equation, which is the value of y when x is 0. In this case, it would be the value of the flat fee.

The cost per quart of oil can be found by looking at the coefficient of x, which represents the rate of change in cost with respect to the number of quarts of oil used.