Lesson 4 Skills Practice Lesson 4 Homework Practice

[Pages:2]NAME _____________________________________________ DATE ____________________________ PERIOD ____________

Lesson 4 Skills Practice

Equations in y = mx Form

1. A machine at a manufacturing company can make 72 jar lids in 3 minutes and 288 jar lids in 12 minutes. If the number of jar lids and the time are in a proportional linear relationship, at what rate is the machine manufacturing the lids?

2. A bicyclist travels 16 miles in 2 hours and 48 miles in 6 hours. If the number of miles traveled and the time spent biking are in a proportional linear relationship, at what rate is the bicyclist traveling?

3. The amount Candice earns and the number of magazine she sells are in a proportional linear relationship as shown in the graph.

4. The cost of chocolates at the candy store are in a linear proportional relationship to the number of pounds purchased as shown in the graph.

a. Determine and interpret the slope.

a. Determine and interpret the slope.

b. Interpret the unit rate and compare it to the slope b. Interpret the unit rate and compare it to the slope.

c. What does the point (0, 0) represent?

c. What does the point (0, 0) represent?

Course 3 ? Chapter 3 Proportional Relationships and Slope

NAME _____________________________________________ DATE ____________________________ PERIOD ____________

Lesson 4 Homework Practice

Equations in y = mx Form

1. The number of miles driven by the Hart family 2. The cost of tomatoes at the Farmer's Market are

during their vacation is in a linear proportional

in a linear proportional relationship to the number

relationship with the number of hours they spent of pounds purchased as shown in the graph.

traveling as shown in the graph.

a. Determine and interpret the slope.

a. Determine and interpret the slope.

b. Interpret the unit rate and compare it to the slope b. Interpret the unit rate and compare it to the slope.

c. What does the point (0, 0) represent?

c. What does the point (0, 0) represent?

3. Amelia earned $40 for babysitting for 5 hours. The amount of money earned by Amelia while babysitting y and the number of hours spent babysitting x are in a proportional linear relationship. This situation can be represented by y = 8x. a. Graph the equation on a coordinate plane. b. Determine and interpret the slope.

c. Interpret the unit rate and compare it to the slope.

d. Explain how the graph shows a proportional linear relationship.

Course 3 ? Chapter 3 Proportional Relationships and Slope

NAME _____________________________________________ DATE ____________________________ PERIOD ____________

Lesson 4 Problem-Solving Practice

Equations in y = mx Form

1. Human hair grows 1 inch in 2 months and 2 1 inches in

2

5 months. If the number of inches of hair growth and time are in a proportional linear relationship, at what

rate is the hair growing per month?

2. Carla's cell phone company charges her $1 for sending 4 text messages and $1.50 for sending 6 text messages. If the amount Carla is charged by her cell phone company and the number of text messages are in a proportional linear relationship, at what rate is she being charged to send a text message?

3. The amount Jon saves and the number of weeks he saves are in a proportional linear relationship as shown in the graph. Determine and interpret the slope.

4. The amount Enzo earns and the number of lawns he mows are in a proportional linear relationship as shown in the graph. What is the unit rate, and what does the point (0, 0) represent?

5. The amount of profit and the number of coupon books sold during the school band's fundraiser are in a proportional linear relationship with slope 3.25. Interpret the slope.

6. Gretchen needs 14 yards of material to sew 4 dance costumes and 35 yards of material to sew 10 dance costumes. If the number of yards of material and the number of costumes sewn are in a proportional linear relationship, what is the unit rate of material per costume?

NAME _____________________________________________ DATE ____________________________ PERIOD ____________

Lesson 4 Extra Practice

Equations in y = mx Form

1. The number of cups of flour required in a cookie recipe is in a linear proportional relationship with the number of batches of the recipe as shown in the graph.

2. The cost of tickets to the school play are in a linear proportional relationship to the number of tickets purchased as shown in the graph.

a. Determine and interpret the slope. b. Interpret the unit rate and compare it to the slope c. What does the point (0, 0) represent?

a. Determine and interpret the slope. b. Interpret the unit rate and compare it to the slope. c. What does the point (0, 0) represent?

3. Kyle earned $100 for detailing 2 cars. The amount of money earned by Kyle for detailing y and the number of cars he detailed x are in a proportional linear relationship. This situation can be represented by y = 50x. a. Graph the equation on a coordinate plane. b. Determine and interpret the slope. c. Interpret the unit rate and compare it to the slope. d. Explain how the graph shows a proportional linear relationship.

4. A jogger can jog 3 miles in 15 minutes and 18 miles in 1 1 hours. If the number of miles and the time are in a

2

proportional linear relationship, at what rate is the jogger jogging per hour?

Course 3 ? Chapter 3 Proportional Relationships and Slope

Course 3 ? Chapter 3 Proportional Relationships and Slope

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download