Interpreting Linear Functions Practice

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

Dorothy loves to make cakes.  The following table shows how the number of eggs that she has left changes as she makes cakes.
What is the meaning of the y-intercept?

• She uses 5 eggs for every 2 cakes.

• She started with 47 eggs.

• She uses 47 eggs for every 0 cakes.

• She started with 5 eggs.

The equation y=10x represents the amount of allowance, y, in dollars, that Jacob receives for doing x hours of chores. Which statement interprets the slope of this equation?

• Jacob does chores for $0 per hour.

• Jacob does chores for $10 per hour.

• Jacob receives $0 of allowance money before doing any chores.

• Jacob receives $10 of allowance money before doing any chores.

The graph shows the candle's height (cm) as it burns (minutes).  What does the slope MEAN?

• The candle burns 1 cm every minute.

• The candle burns 2 cm every 2 minutes.

• The candle burns 2 cm every minute.

• The candle burns 1 cm every 2 minutes.

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. 

 

Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that represents the relationship between the number of lines (x) and the cost of the plan (y).

• y = 70x

• x = 70y

• y = 55 + 15x

• x = 55 + 15y

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 26.94t

• c = 18.99t + 7.95

• t = 26.94c

• t = 18.99c + 7.95

• Accelerating gradually

• Stopping

• Slowing down constantly

• Speeding up constantly

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20

• y = 3 + 20x

• y = -3x + 20

• y = -20x + 3