Proportional Relationships

MysteryTrianglesComparingGraphing Unit Rate

500

400

300

200

100 100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

100

200

300

400

500

Unit Rate– 100 Points

Find the unit rate for the equation y=65x.

Unit Rate– 200 Points

If GMS is taking 6 buses to Centre College on Friday and there are 180 students in the eighth grade, how many students will fit on one bus?

Unit Rate– 300 Points

Find the unit rate if Jamie types 160 words in 4 minutes.

Unit Rate– 400 Points

Use the following graph to determine the unit rate of the relationship. Write

an equation to represent the relationship.

Unit Rate– 500 Points

Find the unit rate of the following table. Write an equation to represent the relationship. Graphthe relationship.

x y2 344 686 1028 146

Graphing– 100 Points

Name the two requirements of a graph

that represents a proportional relationship

Graphing– 200 Points

Draw an example of a graph that is a

proportional relationship

Graphing– 300 Points

On your test tomorrow it is predicted that for every 2 people

that get an A on the test, 1 person will get a B. Draw a graph to represent this relationship.

Graphing– 400 Points

At Sandy's Beauty Salon, a haircut costs $15.00 and a permanent costs $30.00.

Which graph represents the amount of revenue the salon will earn in one day for x haircuts?

Graphing– 500 Points

A car is advertised as having a fuel efficiency of 30 miles per gallon when driving on a highway. Draw a graph that

represents this car’s fuel efficiency.

Comparing– 100 Points

These graphs all represent fuel efficiency of three different cars. Which car has the best fuel efficiency?

A.

B. D.

C.

Comparing– 200 Points

Compare the following tables and state who has

the greater unit rate.x y

2 10

4 20

6 30

8 40

x y

1 6

3 18

5 30

7 42

Comparing– 300 Points

The graph and equation below document the distance two people travel. Who is traveling faster?

Y=55x

Comparing– 400 Points

Kristy earns $350 in two hours working as an accountant. The amount that Caitlyn earns

is represented in the graph below. Who makes more money per hour? Why?

Comparing– 500 Points

Noel's Burned Calories

Hours Calories

6 1,500

7 1,750

8 2,000

9 2,250

Noel and Joy started dancing in an effort to lose weight. Noel recorded the number of calories she burns in x hours in the table below. Joy recorded the number of calories she burns in x hours in the graph below. Who burns more calories per hour?

Triangles– 100 Points

Graph the line y=3x and draw two similar but not congruent right triangles

on the graph.

Triangles– 200 Points

What are the lengths of the horizontal sides of triangles JKL and RST

Triangles– 300 Points

Compare the ratios of the two triangles and determine if the triangles are similar. What is the slope of the line?

Triangles– 400 PointsThe slope of the line shown between the points (-7, -3) and (-4, 0) is equal to its slope between the points (0, 4) and (6, 10).

Which of the following best describes triangle TUV and triangle XYZ

A. Triangle TUV is congruent to triangle XYZ.B. The length of TU is equal to XY.C. The length of TV is equal to XZD. Triangle TUV is similar to triangle XYZ.

Triangles– 500 Points

Mystery– 100 Points

Graph the line y=-x

Mystery– 200 Points

FREE POINTS! The last team that scored gets

200 extra points!

Mystery– 300 Points

Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered. Carla pays $9.84 for 4 magazines, and she pays $22.14 for 9 magazines. The equation below represents the amount of money Brandon pays for x magazines.

y = $2.68x

Who pays more per magazine?

Mystery– 400 Points

Mystery– 500 Points

FINAL JEOPARDY

Write down a number of points to wager as a team