Real World Linear Problems

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

• 35

• 21.5

• 30

• 30.50

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?

• 3 years old

• 7 years old

• 57 years old

• 63 years old

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?

• 4 boxes

• 5 boxes

• 6 boxes

• 7 boxes

472 students are going on a field trip.  120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

• 4 cabins

• 44 cabins

• 59 cabins

• 74 cabins

Eric's BBQ sells BBQ by the pound. Alexa buys $8.75 worth of sides and then 6 pounds of barbeque.  If her total bill was $40.55, how much was each pound of barbeque?

• $5.30

• $3.95

• $8.22

• $5.32

We are going to manufacture Whats-Its. The Whats-It machine costs $4000.It also costs $5 for materials and labor for each Whats-It. We are planning to sell our Whats-Its for $12 each. How many Whats-Its must we sell in order to break even? What is the expression for cost?

• 4000+5

• 4000x + 5

• 5x + 4000

• 4000x + 5x

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

How many hair cuts until they breakeven?

• 200 hair cuts

• 22 hair cuts

• 2700 hair cuts

• 15

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

What can be said about the rate of change with respect to the number of hot dogs sold?

• There are infinite hotdogs

• There are 3 hotdogs

• The hotdogs have a positive rate of change

• I genuinely do not know what the question is asking