Creating Equations

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.

• $y=250x+150$

• $y=150x-250$

• $y=150x+250$

• $y=-250x+150$

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.8.F.B.4

CCSS.HSF.LE.A.2

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.8.F.B.4

CCSS.HSF.LE.A.2

A caterer charges $275 for a set-up fee and then $20 per plate. Write a linear equation to represent this situation.

• $y=20x-275$

• $y=275x+20$

• $y=20x+275$

• $y=-275x+20$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

• $y=5x-20$

• $y=20x+5$

• $y=5x+20$

• $y=20x-5$

Cameron is designing a calendar as a fund-raising project for math class. The cost of printing is $500, plus $2.50 per calendar. Write an equation in slope-intercept form that models the total cost of printing the calendars.

• $y=2.50x+500$

• $y=500x+2.50$

• $y=2.50x-500$

• $y=-2.50x+500$

A Pizza restaurant offers the following deals:

$8.99 for one large pizza and $5 for each additional large pizza on the same order.

Write a linear equation that represents this situation.

• $y=5x+8.99$

• $y=8.99x+5x$

• $y=-5x+8.99$

• $y=-8.99x+5$

Julie brings some money to Target. She spends $50. She has $100 leftover. How much money did she start with at Target? Let t represent the amount she started with.

• 100 - 50 = t

• t + 50 = 100

• 50 - t = 100

• t - 50 = 100

Tags

CCSS.HSA.CED.A.3

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 

• y = x(35 + 0.75)
• y = 35x + 0.75
• y = 0.75x + 35
• y = 0.75(x + 35)

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Daniel is paid $10 per week for selling newspaper subscriptions.  He is also paid $3.50 for each new customer (x) that signs up for the subscription.  Which equation represents the amount (y) Daniel earns  per week?

• y = 3.5x
• y= 10 + x
• y = 10 + 35x
• y = 10 + 3.5x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2