Special Linear Relationships

Question 1

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

Revolt · Accepted Answer

y = x

Question 2

Which graph represents a function with direct variation?

Revolt · Accepted Answer

A coordinate plane with a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

Question 3

The graph represents the direct variation function between earnings in dollars and hours worked.

Revolt · Accepted Answer

E = 7.5h

Question 4

Which graph represents a function with direct variation?

Revolt · Accepted Answer

A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).

Question 5

The table represents a bicycle rental cost in dollars as a function of time in hours.

Revolt · Accepted Answer

This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Question 6

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Revolt · Accepted Answer

10, 8, 6, 4, 2, ...

Question 7

Three points of a function are graphed.

Revolt · Accepted Answer

The function is linear but is not a direct variation function.

Question 8

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Revolt · Accepted Answer

k = –

Special Linear Relationships Answers