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Review For Mid Unit Assessment

Last updated about 1 year ago

42 questions

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The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes.

Match each statement in function notation with a description.

Draggable item		Corresponding Item
P(10)=4		The bathtub starts out with no water.
P(4)=10		The height of the water is 10 inches after 4 minutes.
P(20)=0		After 10 minutes, the height of the water is 4 inches.
P(0)=0		After 20 minutes, the bathtub is empty.

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Functions f and A are defined by these equations.

f(x)=80-15x

A(x)=25+10x
Which function has a greater value when x is 2.5?

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Function F gives the cost, in dollars, of buying n apples.
Which statement best represents the meaning of C(10)=9?

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Function g is represented by the graph.

For what input value or values is g(x)=4?

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Match each feature of the situation with a corresponding statement in function notation.

Draggable item		Corresponding Item
height staying the same		h(4)
minimum height		h(1.5)
starting height		h(t) 6 for 7 \leq t \leq 8
maximum height		h(0)=7

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The height, in feet, of a squirrel running up and down a tree is a function of time, in seconds.

Here are statements describing the squirrel’s movement during four intervals of time. Match each description with a statement about the average rate of change of the function for that interval.

Draggable item		Corresponding Item
The squirrel runs up the tree very fast.		The average rate of change is large and positive.
The squirrel runs down the tree.		The average rate of change is zero.
The squirrel runs up the tree slowly.		The average rate of change is negative.
The squirrel starts and ends at the same height.		The average rate of change is small and positive.

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Jada walks to school. The function D gives her distance from school, in meters, as a function of time, in minutes, since she left home.

What does D(10)=0 represent in this situation?

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Jada walks to school. The function D gives her distance from school, in meters, t minutes since she left home.

Which equation tells us “Jada is 600 meters from school after 5 minutes”?