2024 Fall Semester Exam Review I.

Front

What does the equation c = 15.25n + 3.45 represent in terms of cost?

Back

The equation represents the total cost (c) of an order of shirts, where n is the number of shirts ordered. The cost is dependent on the number of shirts.

Front

In the function t = 65h + 24.50, what do the variables t and h represent?

Back

t represents the total amount charged for a car repair job in dollars, and h represents the number of hours spent on the job.

Front

What is the effect of changing the fixed cost in the function t = 65h + 44.50 compared to t = 65h + 24.50?

Back

The total amount charged for each job will increase by $20 due to the increase in the fixed cost.

Front

What is the domain of the function c = 150u + 4.95 for a baseball team with 12 to 20 players?

Back

The domain is {12, 13, 14, 15, 16, 17, 18, 19, 20}, representing the number of uniforms bought.

Front

How can the flow rate of water through Morgan Falls Dam be calculated from the equation 7500x - 3y = 0?

Back

The flow rate can be calculated by rearranging the equation to find the rate in cubic feet per second, which is 2500 cubic feet per second.

Front

What is the relationship between the number of drinks ordered (d) and the balance remaining (b) on a gift card of $40?

Back

The balance remaining can be expressed as b = 40 - 2d, where $2 is the cost of each drink.

Front

Define a linear function in the context of cost and quantity. Give an example.

Back

A linear function is a function that models a relationship with a constant rate of change. Example: c = 15.25n + 3.45, where c is cost and n is quantity.

Front

What does it mean for one variable to be dependent on another in a function?

Back

It means that the value of one variable (dependent variable) changes in response to the value of another variable (independent variable).

Front

Explain the significance of the slope in a linear cost function.

Back

The slope represents the rate of change of cost with respect to quantity. In the function c = 15.25n + 3.45, the slope is 15.25, indicating the cost per shirt.

Front

What is a fixed cost in a pricing function?

Back

A fixed cost is a constant amount added to the total cost regardless of the quantity produced or sold. In t = 65h + 24.50, the fixed cost is $24.50.