MATH115 QUIZ: MODELLING LINEAR EQUATIONS

W represents the wrestler's weight (in kilograms) after t months.
 $W\ =\ 80+5.4t$  

What was the wrestler's weight before his special diet?

• 80 kg

• 5.4 kg

• 85.4 kg

• 0

W represents the wrestler's weight (in kilograms) after t months.

 $W\ =\ 80+5.4t$  

What will the wrestler's weight be after 4 years ?

• 101.6 kg

• 339.2 kg

• 84 kg

• 85.4 kg

W represents the wrestler's weight (in kilograms) after t months.

 $W\ =\ 80+5.4t$  

The wrestler wants to weigh 400 kg, how long must he wait in years?

• 7 years

• 10 years

• 5 years

• 59 years

Kim and Cyndi are starting a business tutoring students in math. They rent an office for $400 per month and charge $40 per hour per student. If they have 15 students each for one hour per week how much profit do they make together in a month? (assume 4 weeks per month)

• $2800

• $1000

• $1200

• $400

Glenna wants to rent a car for a trip to Key West for one week. She calls two car rental companies to get prices. Mr. Kotter’s Rentals rents a Cadillac Escalade for $99 for one week plus $0.11 per mile over 100 miles. Barbarino’s Rentals has the same vehicle for $75 per week and $0.15 per mile over 150 miles. If it is 432 miles to Key West, which company has the better deal?

• Mr. Kotter’s Rentals

• Barbarino’s Rentals

A video rental store charges a $20 membership fee and $2.50 for each video rented. Write a linear equation to model this situation. If 15 videos are rented, what is the revenue?

• $57.5

• $20

• $22.5

• $302.25

A video rental store charges a $20 membership fee and $2.50 for each video rented. Write a linear equation to model this situation. If a new member paid the store $67.50 in the last 3 months, how many videos were rented?

• 5 Videos

• 3.25 Videos

• 19 Videos

• 25 videos

Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. If Casey made 40 baskets this past week, what were her total weekly costs?

• $500

• $8002.5

• $200

• $300

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 does each person cost?

• $5

• $0.5

• $2

• $4

The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015. Which of the following linear models predicts the population, y, of Florida (in millions) in terms of x, the number of years since 2010.

• $y=17.4x+0.22$

• $y=-0.22x+17.4$

• $y=0.22x+17.4$

• $y=-17.4x+0.22$