Linear Functions

Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38 miles, what was the total amount Robert was charged?

• $46.60

• $52.90

• $66.90

• $86.50

Tags

CCSS.HSF-LE.A.1B

Salim wants to purchase tickets from a vendor to watch a tennis match. The vendor charges a one-time service fee for processing the purchase of the tickets. The equation T = 15n + 12 represents the total amount T, in dollars, Salim will pay for n tickets. What does 12 represent in the equation?

• The price of one ticket, in dollars

• The amount of the service fee, in dollars

• The total amount, in dollars, Salim will pay for one ticket

• The total amount, in dollars, Salim will pay for any number of tickets

Tags

CCSS.HSF.LE.B.5

3x + 4y = -23

2y - x = -19

What is the solution (x, y) to the system of equations above?

• (-5, -2)

• (3, -8)

• (4, -6)

• (9, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = 19.99 + 1.50x

The equation above models the total cost y, in dollars, that a company charges a customer to rent a truck for one day and drive the truck x miles. The total cost consists of a flat fee plus a charge per mile driven. What does the y-intercept of the graph represent in terms of the model?

• A flat fee of $19.99

• A charge per mile of $1.50

• A charge per mile of $19.99

• Total daily charges of $21.49

Tags

CCSS.HSF.LE.B.5

Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?

Tags

CCSS.7.EE.B.4B

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

Tags

CCSS.HSF-BF.A.1A

A clothing store is having a sale on shirts and pants. During the sale, the cost of each shirt is $15 and the cost of each pair of pants is $25. Geoff can spend at most $120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?

The graph displays the total cost C, in dollars, of renting a boat for h hours.

What does the C-intercept represent in the graph?

• The initial cost of renting the boat

• The total number of boats rented

• The total number of hours the boat is rented

• The increase in cost to rent the boat for each additional hour

Tags

CCSS.HSF.LE.B.5

The graph of a line in the xy-plane passes through the point (0, 2) and has a slope of 5. Which of the following equations best represents the line?

A car-sharing service charges $6 per hour to rent a car plus a $10 fee for insurance. Which of the following gives the total cost c, in dollars, of a rental that lasts t hours?

• c = 6t + 10

• c = 6t - 10

• c = 10t + 6

• c = 16t

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2