Interpreting Linear Functions Word Problems

After how many cakes will Dorothy run out of eggs?

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You plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. Check off ALL of the following that are true.

• y = 0.5x + 5 will tell me how much I will spend on x rides

• After 3 rides I will spend $1.50

• If I go on NO rides I still have to pay $5 to get in.

• After 3 rides I will spend $6.50

• The slope is $5 per ride

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

• 20 rides

• 30 rides

• 40 rides

• 50 rides

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

• g(8)=8.  This means that after 8 packages of gum, the company makes $8.

• g(8)=42.  This means that 8 packages of gum costs $42.

• g(8)=28.  This means that 8 packages of gum costs $28.

• g(8)=24.  This means that 8 packages of gum costs $24.

The population of the town is given by the function y = 60,000 - 500x, where y is the number of inhabitants and x is the time in years. What is the population of the town after 9 years?

• 55,500

• 55,000

• 54,500

• D:54,000

The change in temperature is given by the function y = 68 - x, where y is the temperature in Fahrenheit degrees and x is the time in hours. What is the temperature after 2 hours?

• 70

• 69

• 67

• 66

The profit of a company is given by the function y = 100,000 - 2,000x, where y is the profit in dollars and x is the time in months. What is the profit of a company after 5 months?

• $98,000

• $90,000

• $89,000

• $80,000

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

• y=1.5+20x

• y=1.5x + 20

• y = 20x + 1.5

• y= 21.5x

If I join the gym for a start up fee of $40 and monthly fee of $10, what equation models this?

• y = 10x - 40

• y = 40x + 10

• y = 10x + 40

• y = 40x - 10