Applications of Slope Intercept Form

Belinda's car needed repairs. The mechanic charged them $140 for the parts and an additional $48 an hour for labor. Write an equation in slope-intercept form that models this situation.

• y = 140x +48

• -48x +140y=0

• y = 48x +140

• y = 48x

A car rental company charges $56 plus $0.30 per mile driven.

Write an equation in slope-intercept form to model this situation.

• y = 56x + 0.30

• 56x + 0.30y = 86

• y = 0.30x + 56

• y = 56 - 0.30x

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

• y = - 2,000x + 30,000

• y = - 2,000x - 30,000

• y = 30,000x + 2,000

• y = -30,000x + 2,000

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x + 20

• y = 20x + 30

• y = 50x

• y = 60x

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money, 'y', Sonya has left on her account after 'x' days?

• y = 40 + 2x

• y = - 2x + 40

• y = 2 + 40x

• y = 2 - 40x

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

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

A taxi charges a fixed fee plus a cost per mile.

The total cost can be calculated with the equation:

y = 2.75x + 4.25

What does 4.25 represent?

• The total cost of the fixed fee plus cost per mile

• The cost per mile

• The number of miles

• The fixed fee

Write and solve a linear equation in slope-intercept form. The late fee for library books is $2.00 plus $0.15 per day late.  If Maria's fee for a late book was $3.20, how many days was the book late?

• The book was 21 days late

• The book was 8 days late

• The book was 13 days late

• The book was 5 days late

Write and solve a linear equation in slope-intercept form.
A group of mountain climbers began an expedition with 250 pounds of food.  They plan to eat a total of 12 pounds of food per day.  How many days will their food last?

• The food will last about 21 days

• The food will last about 12 days

• The food will last about 250 days

• The food will last about 10 days