Linear Relationships Word Problems

Riley went to the farmer's market to buy some fruit. Apples cost $4.50 per pound and bananas cost $0.48 per pound. She is buying 8 pounds of bananas and x apples. Which equation can be used to find y, the total price Riley must pay in dollars?

• y=4.5x+3.84

• y=36x+0.48

• y=0.48x + 36

• y=3.84x+12

Tags

CCSS.6.EE.C.9

Josef gets an allowance of $10 per week. If he does chores, his parents give him an additional $3 per hour for every hour of work. Which algebraic rule can Josef use to find m, the amount of money he will have after a week of doing x additional hours of chores?

• m=10+3x

• m=13x

• m=3+10x

• m=10x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Preston bought a gym membership with a registration fee of $21 and an additional $5 per month.

Which equation shows the relationship between y, the total cost, of x months?

• y = 5x

• y = 21x + 5

• y = 5x + 21

• y = 26x

Tags

7.7a

linear relationships

slope

y-intercept

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  

• 20x + 15 = y 

• 35x = y 

• 15x + 20y = 150 

• 150 - 20x = 15y 

Tags

CCSS.HSA.CED.A.3

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 Sonya has left on her account after x days?

• y = 40 + 2x

• y = - 2x + 40

• y = 2 + 40x

• y = 2 - 40x

Tags

CCSS.6.EE.C.9

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

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

Tags

CCSS.HSF-BF.A.1A

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The rental rate at Rent A Wreck is $30 per day plus $0.25 per mile driven.

How much would a 100 mile rental cost?

• $45

• $55

• $23

• $100