Modeling Functions

The owner of a small computer repair business has one employee who is paid an hourly rate of $22.  The owner estimates his weekly profit using the function P(x) = 8600 - 22x.  In this function, x represents the number of

• computers repaired per week
• hours worked per week
• customers served per week
• days worked per week

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. How much money will she make if she babysits 5 hours?

• $28
• $20
• $25
• $15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

 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 = 20x + 5
• y = 5x +20
• y=20x
• y=5x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

• y=15x-25
• 15x+25y=100
• 25x+y=15
• y=15x+25

Tags

CCSS.6.EE.C.9

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5
• y = 2.50x + 3
• y = 2.50x 
• y = 3x + 2.50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
 Write a linear model that shows how much money will be in the account after x months. 

• y=25000x-1500
• y=25000+1500
• y=1500x+25000
• y=-1500x+25000

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20
• y = 3 + 20x
• y = -3x + 20
• y = -20x + 3

Tags

CCSS.6.EE.C.9

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.1

Sarah is bringing treats to her middle school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is dependent?

• s
• t

Tags

CCSS.6.EE.C.9

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

• y = 12 + 325
• y = 12x  + 325
• y = 325 - 12x
• y = 325x + 12

Tags

CCSS.6.EE.C.9