Linear Models

Which statement best describes "b"?

• x-intercept

• y- intercept

• Slope

• Bee

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y=2x+7

• y=-2x+7

• y=2-7x

• y=7x+2

Which statement best describes "m"?

• x- intercept

• y - intercept

• slope

• bee

The GPA of a student can be predicted using the equation
y = 1.4 x + 1.4  where x is the hours the student spends studying.  What is the expected GPA of a student that spends no hours studying?

• 2.4

• 1.4

• not enough information

• 2.8

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15

A golf course charges $15 to rent golf clubs and charges $25 per round to play.  Write an equation to represent the total cost, T, for one player.

• T = 15 + 25r

• T = 15g + 25r

• T = 40 r

• T = 15r + 25

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

Which situation below is representative of y-intercept?

• putting $300 a month into savings

• buying $30 worth of supplies for a lemonade stand

• Spending $3 per ride at the fair

• Paying $2 for parking every day

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

• 350

• 50

• -50

• -350