Linear Functions

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

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If f is the function defined by , what is the value of ?

• 3

• 9

According to the graph, what is the cost for each additional mile traveled, in dollars, of a cab ride?

• $2.00

• $2.60

• $3.00

• $5.00

Which of the following defines f ?

• f(x) = 2x +3

• f(x) = 3x+2

• f(x) = 4x + 1

• f(x) = 5x

Marisol drove 3 hours from City A to City B. The equation below estimates the distance, d, in miles, Marisol traveled after driving for t hours.

d = 45t

Which of the following does 45 represent in the equation?

• Marisol took 45 trips from City A to City B.

• The distance between City A and City B is 45 miles.

• Marisol drove at an average speed of about 45 miles per hour.

• It took Marisol 45 hours to drive from City A to City B.

Oxygen gas is placed inside a tank with a constant volume. The graph shows the estimated temperature "y", in Kelvins, of the oxygen gas when its pressure is "x" atmospheres.

What is the estimated temperature, in kelvins, of the oxygen gas when its pressure is atmospheres?

• 6

• 60

• 700

• 760

Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $20.00 plus an additional $0.70 per mile driven. If the truck was driven 38 miles, what was the total amount Robert was charged?

• $46.60

• $52.90

• $66.90

• $86.50

P(t) = 250 + 10t

The population of snow leopards in a certain area can be modeled by the function P defined above, where P(t) is the population t years after 1990. Of the following, which is the best interpretation of the equation P(30) = 550?

• The snow leopard population in this area is predicted to be 30 in the year 2020.

• The snow leopard population in this area is predicted to be 30 in the year 2030.

• The snow leopard population in this area is predicted to be 550 in the year 2020.

• The snow leopard population in this area is predicted to be 550 in the year 2030.

Which of the following is the graph of the equation y = 2x - 5 in the xy-plane?

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According to the model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?