Quiz about Graphing Linear Functions from Tables

Question 1

Graph the relation y = -2x + 3 for integer values of x from 0 to 4.

You know this is an equation of a linear function, so the dots you graph will be in a straight line. However, you are not asked to draw the whole line, just put a dot on the graph for each input/output combination. So, if x = 0, find y and plot that point. If x = 1, find y and plot that point, and so on. Which graph matches your results?

Accepted Answer

Question 2

Describe the relationship between the input (x) and output (y) values in this graph.

Accepted Answer

When x increases by 1, y increases by 2.

Answer

When x increases by 1, y increases by 7.

Answer

When x increases by 1, y increases by 5.

Answer

When x increases by 2, y decreases by 5.

Question 3

Describe the relationship between the input (x) and output (y) values in this graph.

Accepted Answer

When x increases by 1, y decreases by 2.

Answer

When x increases by 1, y decreases by 12.

Answer

When x increases by 1, y increases by 2.

Answer

When x increases by 2, y increases by 12.

Question 4

Which input-output table represents linear function: $$y=3x-5$$ ?

Accepted Answer

Question 5

The data in this table represents a linear function.

Find the rate of change (slope, rise over run, change in y over change in x) of the data.

Accepted Answer

Answer

Answer

Answer

$$\frac{1}{3}$$

Question 6

The data in this table represents a linear function.

Describe the meaning of the rate of change (slope, rise over run, change in y over change in x) of the data.

Accepted Answer

-2 gallons per minute

Answer

-2 minutes per gallon

Answer

-20 minutes per gallon

Answer

-20 gallons per minute

Question 7

The table shows the cost of long distance calls based on the length of the call. For this function, the input is the number of minutes and the output is the cost of the call.

Is there a constant rate of change? If so, what is it?

Accepted Answer

Yes, $.10 per minute

Answer

Yes, 10 calls per minute

Answer

Yes, $.40 per minute

Answer

Not a constant rate

Question 8

The table shows solutions to the function represented by the equation Find the missing output value.

Accepted Answer

-19

Answer

17

Answer

19

Answer

17

Question 9

The data in the table represents a linear function. Which equation models the relationship?

Accepted Answer

$$y=2x+3$$

Answer

$$y=2x+8$$

Answer

$$y=x+10$$

Answer

$$y=3x-4$$

Question 10

Each entry below could be in an input-output table for this function EXCEPT _____ .

Accepted Answer

(40, 4)

Answer

(8, 80)

Answer

(3, 30)

Answer

(5.5, 55)

Question 11

Which statement about the data in the graph on the left is correct?

Accepted Answer

The cost of pecans is a function of the weight of the pecans.

Answer

The weight of the pecans depends on the cost.

Answer

There is no relationship.

Answer

Pecans cost $2 per pound.

Question 12

The graph represents linear data. Which statement is incorrect?

Accepted Answer

The price is a function of the quantity.

Answer

The quantity depends on the price.

Answer

The price is the independent variable.

Answer

The larger the quantity, the higher the price.

Question 13

All the statements below indicate that the relationship displayed in the table is proportional EXCEPT _____ .

Accepted Answer

The table of values shows that 12 is added each time.

Answer

A constant of 12 can be multiplied by x to get y.

Answer

The values of the ratios in the table, y to x, are equivalent.

Answer

If graphed on the coordinate plane, the values in the table fall on a line that passes through the origin.

Question 14

What is the equation for this table?

Accepted Answer

y = -2x + 5

Answer

y = 2x + 5

Answer

y = 5x - 2

Answer

y = 5x + 5

Question 15

Which equation best represents the relationship between x and y in the table shown?

Accepted Answer

y= 5x+5

Answer

y=1/5x+5

Answer

y=15x+5

Answer

y=10x+5

Question 16

Which equation matches the table?

Accepted Answer

y = 3x + 9

Answer

y = x + 9

Answer

y = x + 3

Answer

y = 12x - 3

Question 17

Which graph represents the table?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Graphing Linear Functions from Tables

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