Lesson 10: Practice Problems

Problem 1

The graph shows the distance of a car from home as a function of time.

A graph of time vs distance from home. The graph starts at (0,0) and goes up steeply, has a flat segment, and goes down less steeply to the time axis.

Describe what a person watching the car may be seeing.

Problem 2 From Unit 6 Lesson 7

The equation and the graph represent two functions. Use the equation $y = 4$ and the graph to answer the questions.

A coordinate plane with a line that has a positive slope and crosses the y axis at (0,1)

When $x$ is 4, is the output of the equation or the graph greater?
What value for $x$ produces the same output in both the graph and the equation?

Problem 3

A graph of time in hours vs distance from beginning in kilometers. The graph goes up steeply, levels off, goes up again, levels off, and goes does steeply to the time axis

This graph shows a trip on a bike trail. The trail has markers every 0.5 km showing the distance from the beginning of the trail.

When was the bike rider going the fastest?
When was the bike rider going the slowest?
During what times was the rider going away from the beginning of the trail?
During what times was the rider going back towards the beginning of the trail?
During what times did the rider stop?

Problem 4 From Unit 4 Lesson 17

The expression $- 25 t + 1250$ represents the volume of liquid of a container after $t$ seconds. The expression $50 t + 250$ represents the volume of liquid of another container after $t$ seconds. What does the equation $- 25 t + 1250 = 50 t + 250$ mean in this situation?