Lesson 5-3: Construct Linear Functions

Lesson 5-3: Construct Linear Functions

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Multiple Choice

Each week, Sam works the same number of hours. Her first week included an orientation. The total number of hrs that she worked after the 2nd, 3rd, and 4th weeks was 20 hours, 28 hours, and 36 hours respectively.

Part A: Find the rate of change

• 10 hrs/week

• 8 hrs/week

• 9 hrs/week

• 16 hrs/week

Multiple Choice

Each week, Sam works the same number of hours. Her first week included an orientation. The total number of hrs that she worked after the 2nd, 3rd, and 4th weeks was 20 hours, 28 hours, and 36 hours respectively.

Part B: Find the time spent on orientation (initial value):

• 4 hours

• 8 hours

• 12 hours

• 20 hours

Fill in the Blanks

Using your answers from Parts A and B, write an equation in slope-intercept form to model the scenario:

Multiple Choice

Angelica started a book and now plans to read 15 pages of it each day. In 10 days, she reads 200 pages. Assume the relationship is linear.

Part A: Find the Rate of Change

• 20 pages

• 10 pages

• 15 pages

• 200 pages

Multiple Choice

Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear.

Part B: Find the initial value, the number of pages she had already read:

• 20 pages

• 50 pages

• 150 pages

• 15 pages

Fill in the Blanks

Using the answers from Parts A and B, write an equation slope-intercept form:

Multiple Choice

Maria has started collecting baseball cards. She collects 20 cards each week. After 9 weeks, Maria has 250 cards. Assume the relationship is linear.

Part A: Find the Rate of Change

• 20

• 9

• 250

• 27.77

Multiple Choice

Maria has started collecting baseball cards. She collects 20 cards each week. After 9 weeks, Maria has 250 cards. Assume the relationship is linear.

Part B: Find the initial value, the number of cards already collected

• 27.77

• 12.5

• 70

• 20

Fill in the Blanks

Write an equation in Slope-Intercept From based on Parts A and B: