Special Linear Relationships

Question 1

Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation? | Complete the steps to write the equation of direct variation.

Revolt · Accepted Answer

–4 = k(8)

Question 2

Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation? | Complete the steps to write the equation of direct variation.

Revolt · Accepted Answer

y = (–1/2)x

Question 3

Complete the steps to write an explicit formula that represents the sequence.

Revolt · Accepted Answer

f(n) = 5n+ 1

Question 4

Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

Revolt · Accepted Answer

4, 2.75, 1.5, 0.25, –1, . . .

Question 5

Complete the steps to write an explicit formula that represents the sequence.

Revolt · Accepted Answer

5

Question 6

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.f(n) = –6.5n + 14.5f(n) = –1.5n + 9.5f(n) = 6.5n + 1.5f(1) = 8, f(n + 1) = f(n) – 6.5f(1) = 8, f(n + 1) = f(n) – 1.5f(1) = 8, f(n + 1) = f(n) + 6.5

Revolt · Accepted Answer

f(n) = –6.5n + 14.5; f(1) = 8, f(n + 1) = f(n) – 6.5

Question 7

Complete the steps to write an explicit formula that represents the sequence.

Revolt · Accepted Answer

1

Special Linear Relationships Answers

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