Slope - Intercept and Standard Form Word Problems

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x
• y=15x+80
• y=x+15
• y=80x+15

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

The world's two highest dams are both in Tajikistan. The Rogun Dam is 35 meters taller than the Nurek Dam. Together they are 635 meters tall. Which equation can be used to determine the height of Nurek Dam?

• 35x + 2 = 635

• 2x - 35 = 635

• 2x + 35 = 635

• x + 35 = 635

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

A plumber charges $50 to make a house call. He also charges $25 per hour for labor. (HINT: y = mx + b)

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

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

Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. If she spent a total of $50 and bought 2 buckets of popcorn, how many tickets did she buy?

• 2

• 4

• 1

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. If you buy 2.5 bags of puppy chow, how many scoops of ice cream can you buy?

• 10

• 2.5

• 2

• 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Luke wants to make 80 dollars doing yard work. He earns $10 per lawn he mows and $20 per garden he weeds. If he weeds 1 garden, How many lawns does he have to mow?

• 60

• 30

• 8

• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3