Question

A quart of oil costs $3.99, and a gallon of gasoline costs $2.99 at a store. Malik plans to buy 3 quarts of oil and some gasoline. He graphs the relationship between the total cost of gasoline and oil as a function of the number of gallons of gasoline he buys. What will be the unit for the slope of the graph?

A) Quarts
B) Gallons
C) Dollars per gallon
D) Gallons per dollar

Answer 1

The unit for the slope of Malik's graph, which represents the cost function of gasoline and oil, will be in dollars per gallon.

Step-by-step explanation:

The question involves understanding the relationship between the total cost and the number of gallons of gasoline Malik buys, specifically related to the slope of the graph Malik plans to create. The slope of the cost function will tell us the rate at which the total cost increases for each additional gallon of gasoline he purchases. Since the cost of oil is fixed at $3.99 per quart and Malik is buying 3 quarts, the only variable affecting the slope will be the cost of the gasoline. Therefore, the slope of the graph, which represents the cost per gallon of gasoline, will have the unit of dollars per gallon because it's the change in cost (in dollars) for each additional unit of gasoline (per gallon).