Slope and Y-Intercept in Context

In order to join a dancing club, there is a $30 start up fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 30x + 4

• y = 4x + 30

• y = 30x - 4

• y = 4x - 30

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

• y = 20x + 5

• y = 5x + 20

• x = 20y + 5

• x = 5y + 20

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.

• 40 = 2x

• 2 = 40x

• y = 2x + 40

• y = 40x + 2

Using the equation from Question 3 {y = 2x + 40}, find the total cost to become an all-star library member for 19 months.

• $19

• $38

• $760

• $78

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.

• y = 17.4x + 0.22

• y = -0.22x + 17.4

• y = 0.22x + 17.4

• y = -17.4x + 0.22

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

• 4 = 1.50x

• 1.50 = 4x

• y = 1.50x + 4

• y = 4x + 1.50

Using the equation from Question 6 {y = 1.50x + 4}, how much would it cost someone to rent a bike for 6 hours?

• $6

• $24

• $9

• $13

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 can be used to find the total yearly cost.

• y = 100x

• y = 5x

• y = 100x + 5

• y = 5x + 100

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

• y = 2.50x + 500

• y = 500x + 2.50x

• y = 500 - 2.50x

• y = 2.50x - 500

If each calendar from Question 9 sells for $5, how many calendars will Cameron need to sell to break even? (“Break even” means you don’t end up making or losing any money.”) {y = 2.50x + 500}

• 100 calendars

• 200 calendars

• 500 calendars

• 1000 calendars