Graphing Tables in Linear Functions

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

• When x increases by 1, y decreases by 12.

• When x increases by 1, y decreases by 2.

• When x increases by 1, y increases by 2.

• When x increases by 2, y increases by 12.

The graph represents linear data. Which statement is incorrect?

• The quantity depends on the price.

• The price is the independent variable.

• The price is a function of the quantity.

• The larger the quantity, the higher the price.

• 3

• 1/3

• 6

• -6

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

• When x increases by 1, y increases by 7.

• When x increases by 1, y increases by 5.

• When x increases by 1, y increases by 2.

• When x increases by 2, y decreases by 5.

• 
• 
• 
• 

The relations shown on the left are all linear functions.

Which one(s) have graphs that are lines going up and to the right?

• ii and iv

• i and iii

• ii

• i, ii, and iv

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.

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.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

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?

• Yes, 10 calls per minute

• Yes, $.10 per minute

• Yes, $.40 per minute

• Not a constant rate

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

• -19

• 17

• 19

• 17