A.4.11 Practice Problems

A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground. Select the best description of the range of this function.

To raise funds for a trip, members of a high school math club are holding a game night in the gym. They sell tickets at $5 per person. The gym holds a maximum of 250 people. The amount of money raised is a function of the number of tickets sold. Which statement accurately describes the domain of the function?

C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n)=4+3n. a. Find a value of n such that C(n)=31 is true. b. What does that value of n tell you about the cafeteria meal plan?

Lin completes a 5K using a combination of walking and running. Here are four graphs that represent four possible situations. Each graph shows the distance, in meters, as a function of time, in minutes. A. Lin starts out running, but then slows down to a jog. After 10 minutes, she stops for a water break. She then runs the rest of the way. B. Lin starts the race walking, gradually getting faster and faster. C. Lin jogs at a steady pace for the entire race. D. Lin starts out walking, then moves to a steady run. After 15 minutes, she stops to stretch a cramped leg. Then, she walks the rest of the way. 1. Graph 1 2. Graph 2 3. Graph 3 4. Graph 4

The graph H shows the height, in meters, of a rocket t seconds after it was launched. a. Find H(0). What does this value represent? b. Describe the domain of this function. c. Describe the range of this function. d. Find H(x)=0. What does this value represent?

Mai has to decide between two cafeteria meal plans. Under plan A, each meal costs $2.50. Under plan B, one month of meals costs $30. a. Write an equation for function A, which gives the cost, in dollars, of buying n meals under plan A. b. Write an equation for function B, which gives the cost, in dollars, of buying n meals under plan B. c. Mai estimates that she’ll buy 15 meals per month. Which meal plan should she choose? Explain your reasoning.

Kiran is playing a video game. He earns 3 stars for each easy level he completes and 5 stars for each difficult level he completes. He completes more than 20 levels total and earns 80 or more stars. a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.

c. Then, identify a point that represents a combination of stars and levels that is a solution to the system. d. Interpret the point (5,6) in the context of this situation and determine how many stars Kiran earns based on this point.