Linear Equation Word Problems in Slope Intercept Form

 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

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

• y = 4x + 1.50
• y = 1.50x + 4

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Use your equation to find the altitude of the plane after 5 minutes.

• 20,000 feet after 5 minutes
• 40,000 feet after 5 minutes
• 148,000 feet after 5 minutes

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 = 30,000ft - 2,000ft(x)
• y = 30,000ft + 2,000ft(x)
• y = 30,000ft(x) - 2,000ft

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. 

• L = 34 - 0.5(d)
• L = 34(d) - 0.5
• d = 34 - 0.5(L)

Tags

CCSS.HSF-BF.A.1A

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 

• C = 5h + 3
• C = 3h + 5
• H = 5c + 3
• H = 3c + 5

Tags

CCSS.HSF-BF.A.1A

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. 

• C = 25 + 50h
• C = 50 + 25h
• H = 25 + 50c
• H = 50 + 25c

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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 = 20 + 30x
• y = 30 + 20x
• y = 50x
• y = 60x

Tags

CCSS.6.EE.C.9

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies
• 15x + 3 = 99 and 6 movies
• 3x + 15 = 99 and 28 movies
• 3x + 99 = 15 and 28 movies

Tags

CCSS.7.EE.B.4A

Mega middle school sells wrapping paper to raise money for student activities. The school keeps half of all the sales, minus $300 for prizes for top sellers. How much wrapping paper must be sold for the school to earn $5000. Write the linear equation and solve.

• 5000 = 1/2x - 300      $10,600
• 5000 = 2x - 300   $2,650
• 5000 = 1/2x + 300   $2,650
• 5000 = 2x + 300      $10,600

Tags

CCSS.7.EE.B.4A