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9-12 Extra Support Materials for Algebra 1 Unit 5 Lesson 17

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 •Lesson 17 Lesson 18

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Extra Support Materials for Algebra 1

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Lesson 17

17.1 Warm-up 17.2 Activity 17.3 Activity

Unit 5, Lesson 17

Interpreting Function Parts in Situations

Extra Support Materials for Algebra 1

17.1

Warm-up

Math Talk: Function Evaluation

Find the value of for the given function value using the function: , mentally.

Are You Ready for More?

17.2

Activity

A Long Car Trip

On a long car trip, the distance on the odometer (in miles) is a function of time (in hours after the trip begins) given by the equation .

What is the rate of change for the function? What does it mean in this situation?
What is the value of ? What does it mean in this situation?
What is the value of ? What does it mean in this situation?
When is ?
Do each of the values make sense with this model? Explain your reasoning.

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17.3

Activity

A Warehouse and Highway

<p>a factory warehouse full of items</p>

A warehouse in a factory initially holds 2,385 items and receives all of the items made in production continuously throughout a day. During a particular day, the factory produces 150 items per hour to put into the warehouse. Write a function, , to represent the number of items in the warehouse at time after production begins for the day.
1. What are the units for ?
2. What is the domain of the function? Explain your reasoning.
3. What is the range of the function? Explain your reasoning.
4. What is the value of when ? What does that mean in this situation?
During a focused effort on building new infrastructure for 3 years, a company can build 0.8 miles of highway per day. The company has already built 12 miles of highway before the focused effort. Write a function, , to represent the length of highway built by the company as a function of during the focused effort.
1. What are the units for ?
2. What is the domain of the function? Explain your reasoning.
3. What is the range of the function? Explain your reasoning.
4. What is the value of when ? What does that mean in this situation?

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