Pretest

Question 1

Which graph represents a function with direct variation?

Revolt · Accepted Answer

Image with description A coordinate plane has both x and y axes labeled from negative 5 to 5. A line is plotted that passes through the point negative 4 comma 2, the point 0 comma 0, and the point 4 comma negative 2.

Question 2

Which graphs show functions with direct variation? Choose three correct answers.

Revolt · Accepted Answer

Image with description A line graph titled Cost of Cinnamon shows quantity in ounces labeled 0 to 9 in increments of 1 on the x-axis and total cost in dollars labeled 0 to 9 in increments of 1 on the y-axis. A straight line with a positive slope passes through two labeled points, starting at 1 comma 0.3 and continuing to 5 comma 1.5.; Image with description A line graph titled Breakfast Cost shows number of meals labeled 0 to 9 in increments of 1 on the x-axis and total cost in dollars labeled 0 to 9 in increments of 1 on the y-axis. A straight line with a positive slope passes through two labeled points, starting at 1 comma 1.2 and continuing to 5 comma 6.; Image with description A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1 comma 2) and (5 comma 8).

Question 3

The points 3 comma 24 and 7 comma 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?

Revolt · Accepted Answer

A 50 -page photo album holds 400 photographs.

Question 4

The pattern of numbers shown is an arithmetic sequence. 14 comma 24 comma 34 comma 44 comma 54 comma dot dot dot Which statement describes the recursive function used to generate the sequence?

Revolt · Accepted Answer

The common difference is 10 , so the function is f of open paren n plus 1 close paren is equal to f of n plus 10 where f of 1 is equal to 14 .

Question 5

Which graph represents a function with direct variation?

Revolt · Accepted Answer

Image with description A coordinate plane with a straight line with a positive slope. The x-axis and y-axis are labeled from negative 5 to 5 in increments of 1. The line passes through the points negative 1 comma negative 4 and 0 comma 1.

Question 6

A direct variation function contains the points 2 comma 14 and 4 comma 28 Which equation represents the function?

Revolt · Accepted Answer

y is equal to 7 x

Question 7

The sequence shown represents Marisa’s fine at the library for each day that she has an overdue book. 0 point 5 0 dollars comma 0 point 6 5 dollars comma 0 point 8 0 dollars comma 0 point 9 5 dollars comma 1 point 1 0 dollars comma dot dot dot Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

Revolt · Accepted Answer

f of n is equal to 0 point 1 5 n plus 0 point 3 5

Question 8

The depth of snow after n hours of a snowstorm is represented by the function f of open paren n plus 1 close paren is equal to f of n plus 0 point 8 where f of 0 is equal to 2 point 5 Which statement describes the sequence of numbers generated by the function?

Revolt · Accepted Answer

The depth of snow was 2 point 5 inches when the storm began, and increased by 0 point 8 inches each hour.

Question 9

Which sequence is generated by the function f of open paren n plus 1 close paren is equal to f of n minus 2 for f of 1 is equal to 10 ?

Revolt · Accepted Answer

10 comma 8 comma 6 comma 4 comma 2 comma dot dot dot

Question 10

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32 point 2 feet per second squared. Which equation represents f , the force on an object due to gravity according to m , the object’s mass?

Revolt · Accepted Answer

f is equal to 32 point 2 m

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