Question

You start the week with 10 gallons of oil in the deep fryer in your restaurant. Each day you lose about 1/2 gallon of oil to use. Write an equation that represents the number of gallons of oil as the days pass. Identify the x and y variables, and explain the meaning of the slope and y-intercept.

Answer 1

Step-by-step explanation: yw

To represent the number of gallons of oil as the days pass, we can use the equation:

y = 10 - (1/2)x

In this equation:

- The variable x represents the number of days that have passed.

- The variable y represents the number of gallons of oil remaining in the deep fryer.

The slope of the equation is -1/2, which means that for every day that passes (represented by an increase in x), the number of gallons of oil decreases by 1/2 (represented by a decrease in y).

The y-intercept of the equation is 10, which means that at the start of the week (when x = 0), there are 10 gallons of oil in the deep fryer.

So, the equation y = 10 - (1/2)x represents the relationship between the number of days passed and the number of gallons of oil remaining. The slope of -1/2 indicates the rate at which the oil is being used each day, and the y-intercept of 10 represents the initial amount of oil at the start of the week.