NC Math 1 Calculator Active Practice

The function v(t) = 22,500 - 1,020t models the value of a car t years after it was purchased. What is the meaning of v(3)?

• the purchase price of the car

• the yearly decrease in the car’s value

• the costs of operating the car for 3 years

• the value of the car 3 years after the purchase

Two functions are shown below. g(x) = 4x - 8 h(x) = 3x - 4 What is g(4) - h(2)?

• -6

• -1

• 6

• 10

Dalton spent $165 on supplies to make cupcakes for a bake sale. He plans to sell the cupcakes for $3.50 each. Dalton then spends an additional $50 on supplies and decreases the sales price of each cupcake by $0.75. Which equation can be used to find the profit, P, when he sells x cupcakes?

• P = 3.50x - 165

• P = 3.50x + 165

• P = 2.75x - 215

• P = 2.75x - 115

Three vertices of a rectangle are located at the points (2, 1), (-3, -2), and (-1, -4). What are the coordinates of the fourth vertex of the rectangle?

• (0, 2)

• (2, -2)

• (4, 0)

• (4, -1)

What is the approximate perimeter of the trapezoid shown below?

• 33 units

• 43 units

• 113 units

• 332 units

The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6), and (-2, -4). What is the area of the rectangle?

• 20 square units

• 30 square units

• 35 square units

• 45 square units

Which of the following equations BEST models the data in the scatterplot below?

• y = x + 2

• y = x - 2

• y = -x + 2

• y = -x - 2

This table shows the attendance at a festival each year since it first began in 2002.
Using a linear line-of-best-fit model, approximately what is the predicted attendance for the year 2012?

• 126,000

• 131,000

• 141,000

• 166,000

This table shows the ages of workers in a local company and the number of years they have worked at the company. Which linear function best models the data?

• y = 17.49x - 0.99

• y = 0.99x - 17.49

• y = -0.99x + 17.49

• y = -17.49x + 0.99