Analyze a Linear Function to Construct a Model

Write an equation for the cleaning cost, y, for the number of hours, x. Put in y = mx + b form.

• y = 12x + 20

• y = 20x + 8

• y = 8x

• y = 8x + 20

Write an equation for the line that represents Penelope's distance, y, from soccer practice after x minutes. Use y = mx + b.

• y = -110x + 2480

• y = 110x + 2000

• y = -110x +2040

• y = 5x +1930

What is the cleaning cost per hour (slope)? (hrs are the x values)

• 8

• 20

• 12

• 28

The table shows a linear relationship between the distance Penelope is from the park as she walks to soccer practice. Find the rate of change. Hint: her distance is getting closer.

• 110 meters per minute

• 550 meters per minute

• -110 meters per minute

• 550 meters per minute

The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.

• c = .29p

• c = 3.5p

• p = .29c

• p = 3.5c

• A

• B

• C

• D

• A

• B

• C

• D

Mrs. Wilson teaches private voice lessons to middle school choir students. A student's total cost c for v number of voice lessons can be modeled using a linear function. Mrs. Wilson charges her students $23.50 for sheet music and $35 per lesson. A student must take at least 5 lessons but no more than 9 lessons in a school year.

Determine whether each statement is true or false based on the give information.

• F
• G
• H
• J

How long will it take the candle to burn completely?

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