Linear Functions (A1.2.1.2.1)

The linear function y = 12x gives the number of eggs in x dozens. How many dozens would a restaurant need to make 36 omelets that use 3 eggs each?

• 3

• 6

• 9

• 12

The table below shows the cost of manufacturing 2, 4, 6, and 8 floor tiles. What is the equation for the linear function that gives the cost of manufacturing x floor tiles?

A bottled water company uses the graph here to figure out the weight of the water it transports to local businesses by truck. The graph shows the weight of the water based on its volume. What does the point (20,55) mean?

• Twenty gallons of water weighs 55 pounds.

• Fifty-five gallons of water weighs 20 pounds.

• Forty-five gallons of water weighs 20 pounds.

• Twenty gallons of water weighs 45 pounds.

A baker wanted to enter the apple pie contest at the county fair. So, he bought 100 apples to test recipes before entering the contest. He found that 4 of the apples he bought were rotten. If he uses 6 apples to make each pie, how many pies can he make from the apples he has left?

• 4

• 6

• 16

• 17

The graph shows the cost in dollars of buying x gallons of gasoline. At this price, how many gallons of gasoline could you buy for $9?

• exactly 3 gallons

• exactly 4 gallons

• between 5 and 8 gallons

• more than 8 gallons

The linear function y = 16x + 8 represents the distance in miles that a cyclist is from her home after x hours. After how many hours will she be 56 miles from her home?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

The linear function y = 8x - 5 represents the amount of money that a fish merchant makes from selling x pounds of tilapia. Which statement is true?

• The merchant sells tilapia for $8 per pound.

• The merchant sells tilapia for $5 per pound.

• The merchant makes $3 for each pound of tilapia he sells.

• The merchant makes $5 for each pound of tilapia he sells.

Noel charges $55 per hour to install a door frame and uses $22 of wood. The price (p), in dollars, he charges for a door frame that takes h hours to install is p = 55h + 22. He charged $242 for one door frame he installed. How many hours did he take to install it?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

The cost for renting a car is related to the number of miles it is driven. Based on the given graph, what would the cost of renting a car be if the person drove it 180 miles?

• $35

• $40

• $45

• $50

The graph shows the height of a plant after a certain number of days. What does the coordinate (2,3) mean, according to the graph?

• After 2 days, the plant will be 3 cm tall.

• After 3 days, the plant will be 2 cm tall.

• The plant grows at a rate of 2 cm per day.

• The plant grows at a rate of 3 cm per day.