Functions Math

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x

• y = 12x

• y = 7x + 5

• y = 12x + 12

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

Given: 
f(x) = 15x - 8
G(x) is f(x) decreased by 2, which equation represents this change to the y-intercept?

• g(x) = 15x - 10

• g(x) = 15x - 6

• g(x) = 13x - 8 

• g(x) = 13x - 10

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

Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. 
What will the height of the plant be after 20 days? 

• 25

• 30

• 35

• 40

What is the equation of the graph below?

• f(x) = I x + 2 I 

• f(x) = I x + 2 I +2

• f(x) = I x - 2 I +2

• f(x) = I x - 2 I 

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

What is the equation of the graph below?

• f(x) = - I x + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

What is the equation of the graph below?

• f(x) = I x I -1

• f(x) = I x I +1

• f(x) = - I x I -1

• f(x) = -I x I +1