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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?
B. E = 7.5h
Which sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10?
D. 10, 8, 6, 4, 2, ...
The sequence below represents Marisa's fine at the library for each day that she has 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?
C. f(n) = 0.15n + 0.35
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
A. t=1.8g
The force of gravity on an object varies directly with its mass. The constant of 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?
C. F = 32.2m
Which graphs show functions with direct variation? Select three options.
Graph Two
Graph Three
Graph Five
What is the constant of variation, k, of the direct variation, y = kx, through (-3, 2)?
B. k=-2/3
What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?
D. 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?
A. This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the number of pages in an album. Which statement describes another point on the graph of this function?
A. A 50-page photo album holds 400