A.4.8 Practice Problems

The graphs show the distance, d, traveled by two cars, A and B, over time, t. Distance is measured in miles and time is measured in hours. Which car traveled slower? Explain how you know.

Here are descriptions of four situations in which the volume of water in a tank is a function of time. Match each description to a corresponding graph. A. An empty 20-gallon water tank is filled at a constant rate for 3 minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes. B. A full 10-gallon water tank is drained for 30 seconds, until it is half full. Afterwards, it gets refilled. C. A 2,000-gallon water tank starts out empty. It is being filled for 5 hours, slowly at first, and faster later. D. An empty 100-gallon water tank is filled in 50 minutes. Then, a dog jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The tank is refilled afterwards. 1. Graph 1 2. Graph 2 3. Graph 3 4. Graph 4

Two functions are defined by these equations: f(x)=5.1+0.8x g(x)=3.4+1.2x Which function has a greater value when x is 3.9? How much greater?

Function f is defined by the equation f(x)=3x-7. Find the value of c so that f(c)=20 is true.

Function V gives the volume of water (liters) in a water cooler as a function of time, t (minutes). This graph represents function V. a. What is the greatest water volume in the cooler? b. Find the value or values of t that make V(t)=4 true. Explain what the value or values tell us about the volume of the water in the cooler. c. Identify the horizontal intercept of the graph. What does it tell you about the situation?

Noah draws this box plot for data that has measure of variability 0. Explain why the box plot is complete even though there do not appear to be any boxes.