Write Slope-Intercept Form for Word Problems

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Which equation in slope-intercept form models this situation?

• y = 4x + 30

• y = 30x + 4

• y = 4x - 30

• y = 30x - 4

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Which equation in slope-intercept form models this situation?

• y = 5x + 20

• y = 20x + 5

• y = 5x - 20

• y = 20x - 5

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 2x + 40

• y = 40x + 2

• y = 2x - 40

• y = 40x - 2

Use the equation you wrote in problem 3 (y=2x+40) to find the total cost of being an all-star library member for 19 months.

• $190

• $285

• $380

• $475

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.

• A. y = 17.4x + 0.22

• B. y = -0.22x + 17.4

• C. y = 0.22x + 17.4

• D. y = -17.4x + 0.22

Suppose that a bike rents for $4 plus $1.50 per hour. Which equation in slope-intercept form models this situation?

• y = 1.50x + 4

• y = 4x + 1.50

• y = 1.50 + 4x

• y = 4 + 1.50x

In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models this situation.

• y = 5x + 100

• y = 100x + 5

• y = 5x - 100

• y = 100x - 5

Cameron is designing a calendar as a fund-raising project for math class. The cost of printing is $500, plus $2.50 per calendar. What is the equation in slope-intercept form that models the total cost of printing the calendars?

• C = 500 + 2.50x

• C = 2.50 + 500x

• C = 500x + 2.50

• C = 2.50x + 500

Each calendar will sell for $5.00 each. What is the equation to model the total income, y, for selling x calendars?

• y = 5x

• y = x + 5

• y = 5 + x

• y = x/5

Cameron estimates that the math class will sell 200 calendars. What will the total cost be? (Hint: y=2.5x+500)

• $500

• $1000

• $1500

• $2000