4.10.25 Key Features of Linear Functions

The Central Florida fair was recently in town. You had to pay to get into the fair in addition to pay for the rides. The total cost of the fair can be modeled by the function F(x) = 2.50x + 8, where x is the price of the tickets to ride the rodes. What does the y-intercept (8) represent?

• Number of rides

• The cost for food

• The entrance fee

• The cost per ride

Tags

CCSS.HSF.LE.B.5

Which of the following situations could be described by the equation F(x) = -25x + 120

• There are 120 people in the stadium, and 25 more people are entering per hour.

• A teacher has 120 students. Her 3rd period has 25 students.

• A plumber charges $120 for a house call and $25 per hour.

• A car can hold 120 gallons of gas. When driving it loses 25 gallons per minute.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation where t represents t-shorts and h represents hoodies.  

• 15t + 20h = 150

• 20x + 15 = y

• 15x + 20y = 150 
• 150 - 20x = 15y 

Tags

CCSS.HSA.CED.A.3

Scientists have been studying the population of blue jays in southern Florida for the last few years. They estimate their population in the future using the function f(x) =12x + 468, with f(x) represents the population and x representing the time, in years.

How many years will it take the population to reach a total of 732

The graph shows how the water level changes over time. Select all of the statements that are true.

• The tank will be empty after 6 minutes.

• The tank will be empty after 12 minutes.

• The water level decreases 2 feet per minute.

• The water level decreases 0.5 feet per minute.

• The tank is initially 6 feet deep.

Tags

CCSS.HSF.LE.B.5

Looking at the 2 lines graphed. Which line has a smaller y-intercept

• Line A

• Line B

• Boht Lines

• Can not be concluded.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Looking at the 2 lines graphed. Which line has a larger rate of change. (Might need to zoom in)

• Line A

• Line B

• Boht Lines

• Can not be concluded.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

• y = -2x + 5

• y - 3 = -2(x - 1)

• 2x - y = 5

(x³ - x² + 4) - (3x³ - 2x² + 3)

• -2x³ - 3x² + 7

• -2x³ + x² + 1

• 2x³ - 3x³ - 1

• 4x³ - 3x² + 7

Tags

CCSS.HSA.APR.A.1