Special Linear Relationships

7 September 2022
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14 test answers

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question
The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 54, ... Which statement describes the recurseuve function uses to generate the sequence?
answer
The common difference is 10, so the function is f(n + 1) =f(n) + 10 where f(1) = 14.
question
Which graphs show functions with direct variation? Check all that apply.
answer
Graph 2. Graph 3. Graph 5.
question
What is the constant variation, k, of the direct variation, y = kx, through (5, 8)?
answer
k = 8/5
question
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?
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
Which graph represents a function with direct variation?
answer
Graph 4.
question
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?
answer
9.8 m/s2
question
Three points of a function are graphed. Which statement describes the function through the points?
answer
The function is linear but is not a direct variation function.
question
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?
answer
f(n) = 0.15n + 0.35
question
A direct variation function contains the points (-8, -6) and (12, 9). Which equation represents the function?
answer
y = 3/4x
question
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
answer
y = 7x
question
The force of gravity on an object varies directly with its mass. The constant variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object's mass?
answer
F = 32.2m
question
The graph represents the direct variation function between earnings in dollars and hours worked. Which equation can be used to describe the direct variation function between E, the total earnings in dollars, and h, the number of hours worked?
answer
E = 7.5h
question
Which graph represents a function with a direct variation? (goes through origin)
answer
Graph 3.
question
The graph represents the cost of a subscription to a newspaper. What is the constant of variation for the subscription cost based on the number of weeks?
answer
$7.50