Equations for Real World

You thought the balance in your checking account was $68. When your bank statement arrives, you realize that you forgot to record a check. The bank statement lists your balance as $26. Write and solve an equation to find the amount of the check that you forgot to record.

Solve on your own now.

• -94

• -42

• 94

• 42

In the 2012 Olympics, Usain Bolt won the 200-meter dash with a time of

19.32 seconds. Write and solve an equation to find his average speed

to the nearest hundredth of a meter per second.

What should we do first?

• Solve the Problem

• Make a plan

• Understand the problem

• Look back

Write an equation that represents the production cost and an equation that represents the income made from sales. The cost for the marching band to run a car wash as a fundraiser is $20 to use the parking lot and $2 per car. The marching band plans to charge $7 per car.

Production cost: ​ ​ (a)  

Income: ​ (b)  

• y=2x+20

• y=7x

• y=20x+2

• y=7x+2

• y=20x

• y=2x

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each box of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time?

• 50x + 160 = 1000

• 50 + 160x = 1000

• 50x - 160 = 1000

• 50 - 160x = 1000

Jimbo has $100 in his bank account. Every week he deposits $30 more dollars. Write an equation to represent the amount of money he has in his bank account 

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill? The equation is y=0.20x+15. What does the y mean?

• amount of minutes

• total cost

• cost per minute

• variable

• flat fee

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service.  Which equation below can be used to find c, the total cost for one month when m, minutes are used?

• c = 0.12m + 8m

• c = 8m + 0.12m

• c = 0.12m + 8

• c = 0.20m