Linear Equations Applications

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

• c = 2.75b + 4
• c = 2.75b
• c =  4b- 2.75
• c = 2.75b - 4

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

• y = 140x +48

• y = -48x +140

• y = 48x +140

• y = 48x

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104
• a + c = 104
  6a + 4c = 21
• a + c = 21
  6c + 4a = 104
• a + c = 104
  6c + 4a = 21

Choose the equation that models the following situation:

Mike joins a gym for $25 up front and a $30 monthly fee.

• $y\ =\ -25x+30$

• $y=25x+30$

• $y=30x+25$

• $y=30x-25$

Choose the equation that models the following situation:

The water level in a bath tub was 14 inches and Angelo pulls the plug and it decreases at a constant rate of 2.5 inches every minute.

•  $y\ =\ 14$ 

•  $y=2.5x\ +14$ 

•  $y=-2.5x-14$ 

•  $y=-2.5x+14$ 

You are traveling to your friends house in another city that is 6 miles away. You call an UBER that charges $5 and $1.50 per mile that you travel. What is the cost of the trip?

• $5.00

• $15.00

• $20.00

• $14.00