Equations for Real-life Situations

A camp charges families a fee of $625 per month for one child and $225 more per month for each additional child. Write an equation to represent the amount a family with x additional children would pay.

• y = 625x + 225
• y = 225x 
• y = 225x + 625
• y =  625

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

Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?

• y=25x
• y=20x+5
• y=5x+20
• y=5x

Tags

CCSS.6.EE.C.9

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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.6.EE.C.9

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

• G=19 – 3t

• G=19 + 3t

• G=3 - 19t

• G=3 + 19t

Tags

CCSS.HSF-BF.A.1A

At the beginning of October, Monique changed banks and decided to leave the remaining $3900 in her old checking account to pay for rent, which is $650 per month. After six months, her balance was finally zero. If the balance, B, in Monique’s account is a function of time, t, write an equation for the situation.

• B = 3900 – 650t

• B = 3900 + 650t

• B = 3900t – 650t

• B = 3900t + 650t

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Cedric and Josh both ordered the same size pizzas at Marco’s Pizzeria; however, they ordered different toppings. Marco’s charges an additional fee for toppings, but all toppings cost the same.

Using this information, write an equation for the cost of a pizza, C, as a function of the number of toppings, t ordered.

• C = 11.99 + 1.25t

• C = 11.99 - 1.25t

• C = 11.99t + 1.25

• C = 11.99t - 1.25

Tags

CCSS.HSF-BF.A.1A

Moche started a summer business of mowing lawns. However, before he could mow lawns, he needed to purchase supplies (a lawnmower among other needs). Moche spent $395 gathering necessary materials. He makes on average $60 per lawn, mowed. Write an equation to show Moche his earnings for L lawns mowed.

• m = 60L - 395

• m = 60L + 395

• m = 60 - 395L

• m = 60 + 395L

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles. y = 0.5x + 10. What does the 0.5 in this equation represent?

• The daily fee for the moving truck
• The per-mile fee for the moving truck
• How much Charlie paid for the truck
• The number of miles he drove

Tags

CCSS.HSF.LE.B.5