Linear Systems

1. Silver Gym costs $75 to join their gym plus $25 per training session. World Fitness costs $100 to join and only $20 per training session. How many sessions will it take for the cost to be the same?

• 6

• 10

• 5

• 1

Elliot and Juan are both on a mountain hike. Elliot is currently at 2,000 ft and is descending at a rate of 10 feet per second. Juan is currently at 1,000 feet and is ascending at a rate of 6 feet per second. How many seconds will it take for Juan and Elliot to be at the same height?

• 62.5

• 60

• 70

• 150

A minor league baseball team has a member’s club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?

• 10

• 5

• 20

• 7

Carissa has $250 in her checking account and is saving $15 each week. Brooke has $750 in her checking account and is spending $10 each week. How many weeks will it take for Carissa and Brooke to have the same amount of money in their accounts?

• 40

• 100

• 20

• 25

The NYC bus costs $2.50 per ride. They also sell a bus pass that is $15 and then only $1.00 per ride. How many rides would it take for the cost to be the same?

• 5

• 20

• 10

• 15

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper
• Nate’s service ($42 vs. $44) is cheaper
• Nate’s service ($38 vs. $40) is cheaper
• Beth's service ($42 vs. $44) is cheaper

Function A is represented by the table.

Function B is represented by the equation y = 3x - 4.

What is the rate of change (slope) for Function A?

• 2

• 1/2

• 3

• -2

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck
• The per-mile fee for the moving truck
• How much Charlie paid for the truck
• The number of miles he drove