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.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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.HSA.SSE.A.1

CCSS.HSS.ID.C.7

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.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7