Special Linear Relationships

Question 1

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

Question 2

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

Revolt · Accepted Answer

✔ –4 = k(8); Substitute in the given values for x and y to get .: –4 = k(8); Solve for k to get .: –1/2; Write the direct variation equation with the value found for k. The equation is .: y = (–1/2)x

Question 3

–32–2✔ –1/2

Revolt · Accepted Answer

✔ –1/2

Question 4

x = –2yx = (–1/2)yy = –2x✔ y = (–1/2)x

Revolt · Accepted Answer

✔ y = (–1/2)x

Question 5

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

Revolt · Accepted Answer

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

Question 6

✔ 129/531/5X 11

Revolt · Accepted Answer

✔ 1

Question 7

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

Revolt · Accepted Answer

✔ f(n) = 5n+ 1

Special Linear Relationships Answers

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