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.
B
Yes, this is a direct variation with k = .C
Yes, this is a direct variation with k = 1.D
Yes, this is a direct variation with k = 3.3
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
= –2yB
= (–1/2)yC
y = –2xD
y = (–1/2)x72576
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
✔ 1B
X 29/5C
31/5D
1172578
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 + 11B
f(n) = (–1/5)n+ (31/5)C
f(n) = (1/5)n + (29/5)D
✔ f(n) = 5n+ 1Did you find these answers helpful?
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