AnswersAZ-Algebra 1A MA101Writing Linear Equations

Special Linear Relationships Answers

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For the points in the table, does pressure vary directly with volume? If so, identify k and write an equation.

A
No, this is not a direct variation.
Option A
B
Yes, this is a direct variation with k = .
Option B
C
Yes, this is a direct variation with k = 1.
Option C
D
Yes, this is a direct variation with k = 3.
Option D
2
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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.

A
–32
B
–2
C
–1/2
3

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.

A
= –2y
B
= (–1/2)y
C
y = –2x
D
y = (–1/2)x
72576

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

Answers:
Find the slope of the line that passes through the points given in the table. The slope is .:5
Use one of the given points to find the y-intercept. Substitute values for x, y, and m into the equation y = mx + b and solve for b. The y-intercept is .:1
Write the formula as a function of n in slope-intercept form. The function is for n in the set of natural numbers.:f(n) = 5n+ 1
72577

✔ 1X 29/531/511

A
✔ 1
B
X 29/5
C
31/5
D
11
72578

f(n) = –5n + 11f(n) = (–1/5)n+ (31/5)f(n) = (1/5)n + (29/5)✔ f(n) = 5n+ 1

A
f(n) = –5n + 11
B
f(n) = (–1/5)n+ (31/5)
C
f(n) = (1/5)n + (29/5)
D
✔ f(n) = 5n+ 1
72579

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.

A
k = –4(8)
B
–4 = k(8)
C
8 = k(–4)
72580

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

A
1, –0.25, –1.5, –2.75, –4, . . .
B
1, 2.25, 3.5, 4.75, 6, . . .
C
4, 2.75, 1.5, 0.25, –1, . . .
D
4, 5.25, 6.5, 7.75, 8, . . .
72581

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

A
f(n) = –6.5n + 14.5
B
f(n) = –1.5n + 9.5
C
f(n) = 6.5n + 1.5
D
f(1) = 8, f(n + 1) = f(n) – 6.5
E
f(1) = 8, f(n + 1) = f(n) – 1.5
F
f(1) = 8, f(n + 1) = f(n) + 6.5
72582

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

Answers:
Find the slope of the line that passes through the points given in the table. The slope is .:5
Write the formula as a function of n in slope-intercept form. The function is for n in the set of natural numbers.:f(n) = 5n+ 1

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