Math I Unit 5 Review

Function w gives the weight of a cat, in kilograms, when it is m months old. Which statement represents the meaning of the equation w(6) = 15 in this situation?

• The cat weighs 15 kilograms when it is 6 months old.

• The cat weighs 6 kilograms when it is 15 months old.

• The cat weighs 15 kilograms when it is 6 years old.

• The weight of the cat has been 15 kilograms for 6 months.

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(60) = 100

• d(40) = 40

• d(20) = d(80)

• d(140) < d(160)

• d(0) = 0

A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds. Select all statements that are true about the graph and the situation it represents.

• The function has a minimum value of 0.

• The vertical intercept of the graph shows the height from which the ball was dropped.

• The ball hits the ground at 2 seconds.

• There are multiple times when the function is at its maximum value.

• The horizontal intercepts show the times when the ball hits the ground.

Function M gives the number of miles driven by a delivery driver after d days. What does each expression or equation represent in this situation?

M(5)

• M(5) represents the number of miles driven after 5 days.

• M(5) represents the number of days after driving 5 miles.

Function M gives the number of miles driven by a delivery driver after d days. What does each expression or equation represent in this situation?

M(15) = 3000

• M(15) = 3000 represents after 15 miles the driver has driven 3000 days.

• M(15) = 3000 represents after 15 days the driver has driven 3000 miles.

Function M gives the number of miles driven by a delivery driver after d days. Use function notation to represent each statement.

After driving for 10 days, the driver had driven 2400 miles.

• m(2400) = 10

• m(10) = 2400

Function M gives the number of miles driven by a delivery driver after d days. Use function notation to represent each statement.

The driver had driven 450 miles after 2 days.

• m(2) = 450

• m(450) = 2

Functions A and B give the population of City A and City B, respectively, t years since 1990. In each function, population is measured in millions. Which function value is greater: A(10) or B(10)?

• A(10)

• B(10)

Functions A and B give the population of City A and City B, respectively, t years since 1990. In each function, population is measured in millions. Here are the graphs of the two functions. Are there one or more values of t at which the equation A(t) = B(t) is true?

• Yes, there is one value of t where A(t) = B(t).

• Yes, there are multiple values of t where A(t) = B(t).

• No, there are no values of t where A(t) = B(t).

Functions A and B give the population of City A and City B, respectively, t years since 1990. In each function, population is measured in millions. Here are the graphs of the two functions. Identify at least two values of t at which the inequality B(t) > A(t) is true.

• t = 5 and t = 10

• t = 5 and t = 1

• t = 1 and t = 12

• t = 7 and t = 9