2.5 Applications of Linear Equations

Choose the equation that models the following situation:

Mike joins a gym for $25 up front and a $30 monthly fee.

• $y\ =\ -25x+30$

• $y=25x+30$

• $y=30x+25$

• $y=30x-25$

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CCSS.7.EE.B.4

Choose the equation that models the following situation:

The water level in a bath tub was 14 inches and Angelo pulls the plug and it decreases at a constant rate of 2.5 inches every minute.

•  $y\ =\ 14$ 

•  $y=2.5x\ +14$ 

•  $y=-2.5x-14$ 

•  $y=-2.5x+14$ 

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CCSS.7.EE.B.4

Choose the equation that models the following situation:

Starting at her house, the distance Natalie is from her house if she walks to school at a constant rate of 8 feet per second.

•  $y\ =\ 8$ 

•  $y=8x$ 

•  $y\ =x+8$ 

•  $y=-8x$ 

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CCSS.7.EE.B.4

CCSS.7.RP.A.2

You are traveling to your friends house in another city that is 6 miles away. You call an UBER that charges $5 and $1.50 per mile that you travel. What is the cost of the trip?

• $5.00

• $15.00

• $20.00

• $14.00

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CCSS.7.EE.B.3

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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

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CCSS.7.EE.B.4

CCSS.7.RP.A.2

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation that models this situation.

• y = 20x + 5

• y = 5x +20

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CCSS.7.EE.B.4

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

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CCSS.7.EE.B.4

Daenerys bought dragon food for $29.53. If her tax was 4%, what was her total cost?

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CCSS.7.EE.B.3

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A $300 bike is on sale for 45% off. How much is the discount?

HINT: NOT THE TOTAL JUST THE DISCOUNT

• $145

• $135

• $200

• $435

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CCSS.7.RP.A.2

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Mr and Mrs Smith pay their babysitter a total of $70. They decide to give a tip of 32%. How much is the tip?

HINT: NOT THE TOTAL

• $20

• $32.40

• $22.40

• $102

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CCSS.7.EE.B.3

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