Linear Applications

A copier machine can produce 500 copies per minute. This can be modeled by C(m) = 500m. The copier can only run for 4 hours (240 mins) before needing a break.

What does the DOMAIN represent?

• Copies made

• minutes on

• 500

• 4 hours

• the independent variable is distance
• the independent variable is d=25 t
• the dependent variable is time
• the dependent variable is distance

A pizza shop charges $12 per pizza and a delivery fee of $4.

Which equation represents the cost, c, for any number of pizzas, p?

• c = 4p + 12

• c = 12p + 4

• c = 16p

• p = 12 + 4 + c

A car rental company charges $56 plus $0.30 per mile driven.

Write a linear function to model this situation.

• y = 56x + 0.30

• 56x + 0.30y = 86

• y = 0.30x + 56

• y = 56 - 0.30x

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
y = -3.8x + 290

• 80

• 236.8

• -80

• 72.6

What is the meaning of the slope in the context of the problem?

• It costs $3 for each book.

• The cost of 3 books.

• Each book costs $1.

• $1 for 3 books.

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

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Abby decides to get a magazine subscription. It costs her $2 per magazine plus an initial fee of $3. Define the variables

• y=the cost, x=the number of magazines

• y=the number of magazines, y=the cost

The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?

• The dependent variable is total cost

• The dependent variable is weight

• The independent variable is total cost

• The independent variable is cost of a package