Functions

The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?

• f(t)=0.6t+6.2
• f(t)=t+6.8
• f(t)=6.2-0.6t
•                                           f(t)=6.2t+0.6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

The trade-in value, V, of a certain model of automobile can be determined using the function V(x)=25000-0.25x, where x is the mileage. Which of the following statements is the best interpretation of the slope?

• The value of the car increases as the mileage increases.
• The selling price of the car when it is new is $25,000.
• The trade-in value of the car decreases $4 for every additional mile driven.
• The trade-in value of the car decreases $1 for every additional 4 miles driven.

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

A ball is launched straight up. The function v(t)=96-32t gives the ball's speed, v, in feet per second, in terms of time, t, in seconds as it reaches its maximum height before falling back to the ground. Which graph shown models the function?

• Graph A
• Graph B
• Graph C
• Graph D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Arcadia Inc. manufactures videogames. This is a graph showing the profit, in thousands of dollars, made by the company over the first six months of the year. Which statement about the company's profits is incorrect?

• The profits increased from January to February.
• The largest profit for the six-month period was $275,000.
• The profit decreased from April to June.
• The smallest profit for the six-month period was $150,000.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.A.1

What is the range of this function?

• (150, 275)
• [150, 275]
• [220, 265]
• (220, 265)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

On a car trip, Theresa kept a record of her gas mileage. She discovered that for every 23 miles, she used 1 gallon of gas. Which of the following equations model this situation?

• x=y+23
• x=23y
• y=x+23
• y=23x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

If f(x)=3x-1 and g(x)=2x²-3, what is the value of f(2)+g(3)?

• 5
• 13
• 20
• 38

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which equation describes the graph?

• f(x)=-4x-2
• f(x)=-2x+4
• f(x)=4x-2
• f(x)=4x+2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A frozen yogurt store charges based on how many ounces of yogurt, y, a customer puts in their cup. They also charge a flat price for unlimited toppings. The function for the cost of a cup of yogurt with toppings is f(y)=0.37y+1.50. What does the function indicate?

• Each ounce of yogurt decreases the cost by $0.37.
• Each ounce of yogurt increases the cost by $0.37.
• Each ounce of yogurt decreases the cost by $1.50.
• Each ounce of yogurt increases the cost by $1.50.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.B.5

Which of the following sets of ordered pairs would yield a slope of 3?

• (1, 3) (2, 4)
• (-1, 0) (7, 2)
• (0, 0) (3, 1)
• (-2, 8) (-3, 5)

Tags

CCSS.HSA.REI.C.6

CCSS.HSS.ID.C.7