Linear Relationships - Verbal Descriptions

Which equation matches the table?

• y =4 x + 7

• y = 1/4x +11

• y = 4x -11

• y = 11x + 4

What could this represent? 7x + 2 = 30

• Buying pet turtles for $7 each plus two cans of turtle food cost $30.

• Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

• Two yoyos plus seven frisbees is thirty cents.

• Buying seven calculators plus $2 per bundle of pencils is $30.

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. What is the cost for a 2-hour rental?

• h = 2C + 15; $19

• C = 15h + 2; $32

• h = 15C + 2; $32

• C = 2h + 15; $19

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S
• S = 90d + 3h
• S = 3d + 90h
• S = 3h + 9.0d

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)
• 222.5 = 35 + 0.75m
• 222.5 = 0.75 + 35m
• 222.5 = 0.75(m + 35)

Tags

CCSS.7.EE.B.4A

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 (C)? What is her monthly phone bill if she uses 300 minutes of airtime?

• C = 15 + 0.20x; $75.00

• C =15 (0.20x); $90.00

• C = 15 + x + 0.20; $32.00

• C = 0.20 + 15x; $32.20

Lisa went to the mall to do her back-to-school shopping.  When she returned, she noticed that the number of shirts (s) she purchased was 3 more than twice the number of pants (p) she bought.  What is an equation that can be used to represent the number of shirts Lisa purchased? 

• p=3 + 2s
• s + 2p =3
• s = 3 + 2p
• 2p = s + 3

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people? What would the total cost be for a holiday meal for 14 people?

• y = 12.50 + 30x; $432.50

• y = 30 + 12.50x; $205.00

• y = 12.50 + 30; $402.50

• 12.50x = 30; $175.00

Robin has $500 in her bank account. Each month she pays $70 for her phone bill. Write an equation to represent this situation.

• y = 500x + 70

• y = 500 - 70

• y = -70x + 500

• y = 500 + 70x

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