Equations as Functions and Slope from Graph

Which equation describes the graph?

• f(x)=-4x-2

• f(x)=-2x+4

• f(x)=4x-2

• f(x)=4x+2

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

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.

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

What is the range of this function?

• (150, 275)

• [150, 275]

• [220, 265]

• (220, 265)

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.

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)

Which equation represents the line that passes through the point (1,5) and has an undefined/no slope?

• x=1

• x=5

• y=1

• y=5

Which of the following does NOT have a slope of 3 and a y-intercept of -1?

• 3x+4y=-4

• y=3x-1

• y-5=3(x-2)

• 6x-2y=2

The line with equation y=2x-11 passes through the point with coordinates (a,2). The value of a is...

• 2

• 5.5

• 6.5

• 7