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Slope-Intercept Form of a Line — Unit test Answers

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Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

A
It is linear because the graph decreases over time.
B
It is linear because there is both an independent and a dependent variable.
C
It is nonlinear because linear functions are increasing functions.
D
It is nonlinear because linear functions increase or decrease at the same rate.
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Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?9.6, –4.8, 2.4, –1.2, 0.6, ...

A
f(n + 1) = (–0.5)f(n)
B
f(n + 1) = (0.5)f(n)
C
f(n + 1) = f(0.5n)
D
f(n + 1) = f(–0.5n)
23

Which set of ordered pairs represents a function?

A
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
B
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
C
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
D
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
24

Which equation represents a line that passes through (2, –) and has a slope of 3?

Question illustration
A
y – 2 = 3(x + )
Option A
B
y – 3 = 2(x + )
Option B
C
y + = 3(x – 2)
Option C
D
y + = 2(x – 3)
Option D
25

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.

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