Special Linear Relationships

4.1 (13 reviews)
The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 54, ...
Which statement describes the recurseuve function uses to generate the sequence?
Click the card to flip 👆
1 / 14
Terms in this set (14)
The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 54, ...
Which statement describes the recurseuve function uses to generate the sequence?
The common difference is 10, so the function is f(n + 1) =f(n) + 10 where f(1) = 14.
Which graphs show functions with direct variation? Check all that apply.
Graph 2.

Graph 3.

Graph 5.
What is the constant variation, k, of the direct variation, y = kx, through (5, 8)?
k = 8/5
The table represents a bicycle rental cost in dollars as a function of time in hours.

Which explains whether or not the function represents a direct variation?
This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
Which graph represents a function with direct variation?
Graph 4.
The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

The acceleration duo to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
9.8 m/s2
Three points of a function are graphed.

Which statement describes the function through the points?
The function is linear but is not a direct variation function.
The sequence below represents Marisa's fine at the library for each day that she had an overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa's library fine as a function of a book that is n days overdue?
f(n) = 0.15n + 0.35
A direct variation function contains the points (-8, -6) and (12, 9). Which equation represents the function?
y = 3/4x
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
y = 7x