Functions and Linear Equations Word Problems

A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus?

• 120

• 220

• 180

• 30

I rent a gym for 30 students and the cost is $150. Another time I rent the gym for 70 students and the cost is $270.00. What is the fixed rate?

• $20

• $60

• $80

• $40

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write an equation in standard form to describe the situation.

• 40y+100x=1600

• 100x+40y=1600

• 40x+100y+1600

• 100y+40x=1600

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Find the number of small rafts you can rent if you rent 12 large rafts.

• 12

• 10

• 11.2

• 11

Alex is on a diet to lose some weight. He is losing weight at a rate of 2 pounds per week. After 6 weeks, he weighs 205 pounds. Find how many weeks it will take Alex to reach his target weight of 175 pounds.

• 22 weeks

• 21 weeks

• 20 Weeks

• 19 weeks

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write a linear equation to describe this scenario.

• y=0.04x+15

• y=-0.04x+15

• y=0.4x+15

• y=-0.4x+15

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Find the cost to order 700 business cards

• $46

• $47

• $15

• $43

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

Bob has $150 in his savings account and saves $40 per month.

• y=150 + 40

• y=40x + 150

• y=150x + 40