Linear Word Problem

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?

• 7 months

• 6 months

• 5 months 

• 4 months

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

• -5x + 7.5y = 60

• 5x + 7.5x = 60

• 5x - 7.5y = 60

• 5x + 7.5y = 60

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

• 32 songs

• 33 songs

• 19 songs

• 36 songs

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

• 2 dogs

• 3 dogs

• 4 dogs

• not enough information

The cost for new carpet is $8.55 per square yard, plus an installation fee.  700 square yards of carpet cost $6164.  How much is the installation fee?

• $8.55

• $6155.45

• $179

• $5985

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

• 20 rides

• 30 rides

• 40 rides

• 50 rides