Linear Functions and Rates of Change

• Function
• Not a Function

• Function
• Not a Function

Is the table pictured a linear relationship? Why or Why not

• Yes, it has a constant change

• Yes, it does not have different rates of change

• No, it has constant rate of change

• No, it does not have a constant rate of change

Write 2x+y=24 in slope-intercept form.

• y = 2x-24

• y = -2x+24

• y = 1/2 x + 24

• y = -1/2 x + 24 

• Function
• Not a Function

• Function
• Not a Function

Would x = 7 be considered a function even though it graphs a line? 

• Yes.

• No. 

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

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour

• $5 per hour

• $1 for 6 hours

• $1 for 5 hours

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts