Unit Test — Unit test Answers

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The volume of air inside a rubber ball with radius r can be found using the function . What does represent?

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A
the radius of the rubber ball when the volume equals cubic feet
Option A
B
the volume of the rubber ball when the radius equals feet
Option B
C
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
D
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
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Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

A
Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –2.
B
Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.
C
Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.
D
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
23

The table represents a function.

Question illustration
A
–6
B
–2
C
4
D
7
24

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

Question illustration
A
C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit
B
C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius
C
C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius
D
C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit
25

Which statements about the local maximums and minimums for the given function are true? Choose three options.

A
Over the interval [1, 3], the local minimum is 0
B
Over the interval [2, 4], the local minimum is –8.
C
Over the interval [3, 5], the local minimum is –8.
D
Over the interval [1, 4], the local maximum is 0.
E
Over the interval [3, 5], the local maximum is 0.

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