Linear Equations from Word Problems

An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form that models this situation.

• $y=250x+150$

• $y=150x-250$

• $y=150x+250$

• $y=-250x+150$

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

CCSS.HSF.BF.A.1

An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.

How many hours will have to be worked to have a fee of $2200?

• 8 hours

• 13 hours

• 15 hours

• 9 hours

Tags

CCSS.7.EE.B.4A

An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.

What will be the charge if the attorney works a total of 20 hours?

• $3250

• $5150

• $8000

• $2000

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation to model this situation.

• $y=-8x+55$

• $y=8x-55$

• $y=55x+8$

• $y=8x+55$

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.

Find the volume of water in the tank 25 minutes after Baxter begins filling the tank.

• -1387 gallons

• 1383 gallons

• 255 gallons

• 0 gallons

Tags

CCSS.HSF-BF.A.1A

A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.

How long will it take for the tank to reach 95 gallons?

• 5 minutes

• 12 minutes

• 2 minutes

• 67 minutes

Tags

CCSS.7.EE.B.4A

Jim is creating his own cupcake business. He had to purchase baking supplies before the selling cupcakes. The equation that models this situation is:  $y=3.50x-40$ .
What is the meaning of the y-intercept?

• Jim was in debt $40.

• Jim started his business with $40.

• Jim is selling at each cupcake at a rate of $40.

• Jim is giving $40 with each cupcake sale.

Tags

CCSS.HSF.LE.B.5

Jim is creating his own cupcake business. He had to purchase baking supplies before the selling cupcakes. The equation that models this situation is: 
 $y=3.50x-40$  
How much money will Jim make after selling 12 cupcakes?

• $42

• $138

• $2

• -$82

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Jim is creating his own cupcake business. He had to purchase baking supplies before the selling cupcakes. The equation that models this situation is: $y=3.50x-40$   
How many cupcakes does Jim have to sell to make a $135 profit?

• 50 cupcakes

• 433 cupcakes

• 28 cupcakes

• 135 cupcakes

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Tim buys a new computer for his office for $1200. For tax purposes, he declares a linear depreciation (loss of value) of $200 per year. What is the equation of the line that models this situation?

• $y=-200x+1200$

• $y=-1200x+200$

• $y=200x-1200$

• $y=200x+1200$

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4