8.6. Lesson 2- Comparing Linear Functions

8.6. Lesson 2- Comparing Linear Functions

Turn in your modules to this lesson.

-Students interpret the constant rate of change and initial value of a line in context.

-Students interpret slope as rate of change and relate slope to the steepness of a line and the sign of the slope, indicating that a linear function is increasing if the slope is positive and decreasing if the slope is negative.

Open Ended

In your own words, explain the meaning of 0.25 within the context of the problem.

Open Ended

In your own words, explain the meaning of 𝟑 within the context of the problem.

Fill in the Blanks

Write a linear function to model the relationship between the number of songs downloaded and the total monthly cost. As before, let 𝒙 represent the number of songs downloaded and 𝒚 represent the total monthly cost (in dollars) of downloading songs.

Fill in the Blanks

Determine the cost of downloading 𝟎 songs

Fill in the Blanks

Determine the cost of downloading 1𝟎 songs

Open Ended

Lesson 2 Exercise 3..

Write "done" when complete.

Multiple Choice

Which line has a steeper slope? Which company’s model has the more expensive cost per song?

• Company 1 has the steeper slope, and the more expensive cost per song

• Company 1 has the steeper slope, but Company 2 has the most expensive cost per song

• Company 2 has the steeper slope, and also the most expensive cost per song

• Company 2 has the steeper slope, but company 1 has the most expensive cost per song

Multiple Choice

Which function has the greater initial value?

• Company 1

• Company 2

Open Ended

Which subscription site would you choose if you only wanted to download 𝟓 songs per month? Explain using EVIDENCE.

Open Ended

Which company would you choose if you wanted to download 𝟏0 songs? Explain with EVIDENCE.

Fill in the Blanks

Identify the rate of change.

(just a number no explanation)

Fill in the Blanks

Identify the initial value

(just a number no explanation)

Open Ended

Is the mileage increasing or decreasing each year according to the model? Explain your reasoning.

Fill in the Blanks

what is the rate of change

Fill in the Blanks

what is the initial value

Open Ended

Is the resale value increasing or decreasing each year according to the model? Explain.

Open Ended

Suppose you are given the linear function 𝒚 = 𝟐. 𝟓x + 10.

Write a story that can be modeled by the given linear function.

Fill in the Blanks

In Exercise 3, for what number of songs would the total monthly cost be the same regardless of the company selected? (just put the number)