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Representations of Linear Functions

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Representations of Linear Functions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 A company estimates its total monthly expenses using the equation y = 2,000x + 3,000. Which of these graphs shows this relationship?

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Tags

CCSS.8.EE.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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The graph below represents the number of pint-sized containers that Luis can fill by using x pounds of raspberries. Which equation is represented by the graph?

Tags

CCSS.8.EE.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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The graph shows how the amount of grain in storage in a certain country is changing over time. Which equation describes the linear function graphed?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which graph models the equation -2x + y = -4?

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5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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Y-intercept: +3

Y-intercept: -3

Y-intercept: 1

Answer explanation

We locate x=0 on the table and see that y=1, so the y-intercept is 1.

This would also be where the graph starts on the y-axis if we were to plot all of the coordinates.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

6.

MULTIPLE SELECT QUESTION

1 min • 1 pt

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Slope: -3

Slope: 3

Slope: -1

Y-Intercept: 3

Y-Intercept: -1

Answer explanation

The pattern in the table shows Xs going up by 1 so we can just look at the Ys and see its pattern is going up by 3, so the slope = 3.

When x=0 on the table, y=-1 so the y-intercept = -1.

Tags

CCSS.8.EE.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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Slope: Goes up ~25 for every 10 marbles (25/10 = 2.5)

Slope: Goes down ~25 for every 10 marbles (-25/10 = -2.5)

Answer explanation

This one is a bit tricky to identify slope because the axes are not going by 1s.

We observe that the line is increasing over time, so we will have a positive slope.

From one point to the next, it looks like the points are climbing up 25 (for example, from 15 to 40 to 65).

However, the xs are moving by 10s from 0 to 10 to 20.

So the rate of change is going up by 25 for every 10 marbles.

25/10 = 2.5

Tags

CCSS.8.EE.B.5

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