Lesson 3: Compare Linear and Nonlinear Functions — Practice Questions

1. 1. A baker starts with 48 muffins and sells them at a rate of 12 per hour. The equation is $y = -12x + 48$. What does the number 48 represent?

   • A. The number of muffins sold per hour
   • B. The initial number of muffins
   • C. The total hours the bakery is open
   • D. The price of one muffin

2. 2. A line passes through the points $(2, 7)$ and $(5, 16)$. What is the rate of change of $y$ with respect to $x$? The rate of change is ___.

3. 3. A rental car company charges a flat fee plus a per-mile cost. The total cost $C$ for driving $d$ miles is given by $C = 0.50d + 40$. What is the initial value (the flat fee) in dollars? ___

4. 4. A tank holding 500 gallons of water drains completely in 20 minutes at a constant rate. What is the rate of change of the volume of water in gallons per minute?

   • A. 25
   • B. -20
   • C. -25
   • D. 500

5. 5. A cyclist travels at a constant rate of 8 miles per hour. How many miles will the cyclist travel in 4 hours? ___ miles.

6. 6. A function's graph is a horizontal line. What can you conclude about this function?

   • A. It is linear.
   • B. It is nonlinear.
   • C. It is a parabola.
   • D. It cannot be determined.

7. 7. If a function has a rate of change that is not constant, what would its graph look like?

   • A. A straight line
   • B. A horizontal line
   • C. A curve
   • D. A vertical line

8. 8. A function is graphed and it is a straight line with a negative slope, similar to the graph of $y = -x + 3$. Is this function linear or nonlinear?

   • A. Linear
   • B. Nonlinear

9. 9. Which of the following best describes the graph of a linear function?

   • A. A curve
   • B. A non-vertical straight line
   • C. A circle
   • D. A set of disconnected points

10. 10. The graph of a certain function is a smooth curve that is not straight. What type of function is it?

    • A. Linear
    • B. Nonlinear