Final Exam Review - Word Problems

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It represents a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

Front

How do you model a plumbing service charge that includes a service fee and a per hour rate?

Back

The equation is y = 15x + 40, where y is the total charge, x is the number of hours worked, $15 is the hourly rate, and $40 is the service fee.

Front

If a T-shirt printing company charges $8 per shirt plus a $15 setup fee, how do you calculate the total cost for 50 shirts?

Back

Use the equation y = 8x + 15. For 50 shirts, y = 8(50) + 15 = 415.

Front

What does the y-intercept represent in the equation y = 8x + 25?

Back

The y-intercept of $25 represents the initial fee charged to create the team's design.

Front

How do you express a cell phone bill that includes a monthly fee and a per minute charge?

Back

The equation is C = 15 + 0.20x, where C is the total bill, x is the number of minutes used, $15 is the monthly fee, and $0.20 is the charge per minute.

Front

What is the meaning of the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

In the equation y = 8x + 25, what does the coefficient of x represent?

Back

The coefficient of x (which is 8) represents the cost per T-shirt printed.

Front

How do you find the total cost if you order 10 shirts from a company that charges $8 per shirt and a $15 setup fee?

Back

Use the equation y = 8x + 15. For 10 shirts, y = 8(10) + 15 = 95.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term represents the fixed cost or initial amount before any variable costs are added.

Front

How can you interpret the equation y = -25x + 120 in terms of a decreasing function?

Back

The negative slope (-25) indicates that as x increases, y decreases, showing a reduction in the quantity represented.