Applying Linear Functions

Unit 5, Lesson 8

Practice: What is the slope of

this graph?

What is the y-intercept of this graph?

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Let’s Step it Up a Notch What is the slope of this

line? What does the slope

mean?

What is the y-intercept of this line?

What does the y-intercept

mean?

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Height of a Burning Candle What is the slope of

this line and what does it mean?

What is the y-intercept of this line and what does it mean?

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A health food store has 15 bottles of one vitamin in

stock.

The manufacturer ships these vitamins in boxes of

20. Write a linear function that relates the number of

boxes to the total number of bottles of this vitamin at

the store.

Applying Linear Functions

After a hurricane, 1045 people came to a shelter. They are to be moved by bus to housing. Each bus can carry 55 passengers.

Assuming that every bus leaves with a full load, write a linear function that relates the number of busloads already gone to the number of people remaining at the shelter.

Students in the ninth-grade class drew the following graph to represent how much money would be in the class fund after selling sets of photos of their year’s activities.

a. What does the slope and y-intercept of the graph mean for the given situation?

The slope is 15; the class charged $15 per set of photosThe y-intercept is 25, so they had $25 in the fund

before selling photos.

b. If the graph had the same slope but a y-intercept of 40, what could you conclude?

There was $40 in the class fund instead of $25.

c. If the graph had a slope of 12.5, what could you conclude?

The students charged $12.50 per set of photos.

Nathan began an exercise program that included sit-ups. He started out easy but gradually increased the number of sit-ups he was doing each day. The graph shows his progress.

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Analyzing Linear Graphs