Answers Mathematics IRepresenting Relationships

Representing Relationships — Test Answers

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The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

1,024 inches per second squared

3 eighths inches per second squared

2 and 2 thirds inches per second squared

384 inches per second squared

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If f of x is equal to 2 x squared plus 1 , what is f of x when x is equal to 3 ?

Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5 point 3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?

508 point 8 seconds

508 seconds

510 seconds

509 seconds

The volume of air inside a rubber ball with radius r can be found using the function V of r is equal to 4 thirds pi r cubed What does V of 5 sevenths represent?

that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet

the radius of the rubber ball when the volume equals 5 sevenths cubic feet

that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet

the volume of the rubber ball when the radius equals 5 sevenths feet

Which best describes the relationship between the successive terms in the sequence shown? 2 point 4 comma negative 4 point 8 comma 9 point 6 comma negative 19 point 2

The common difference is negative 2 point 4 .

The common ratio is negative 0 point 5 .

The common difference is negative 7 point 2 .

The common ratio is negative 2 point 0 .

Which graph shows a set of ordered pairs that represent a function?

Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 2 comma 2, 0 comma 1, 1 comma 1, 4 comma 4, and 1 comma negative 4.

Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 5 comma 3, negative 3 comma 1, negative 1 comma negative 2, 0 comma negative 2, and 0 comma negative 5.

Image with description A coordinate plane with 5 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 3 comma 2, negative 3 comma 3, 0 comma 1, 1 comma 3, and 2 comma negative 4.

Image with description A coordinate plane with 6 plotted points. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The points are plotted at negative 2 comma 3, negative 1 comma 2, 1 comma 1, 2 comma 0, 3 comma negative 3, and 4 comma negative 5.

A sequence is defined by the recursive formula f of n plus 1 is equal to 1 point 5 f of n Which sequence could be generated using the formula?

negative 18 comma negative 16 point 5 comma negative 15 comma dots

negative 16 comma negative 17 point 5 comma negative 19 comma dots

negative 12 comma negative 18 comma negative 27 comma dots

negative 20 comma 30 comma negative 45 comma dots

What is the inverse of the function f of x is equal to 1 fourth x minus 12 ?

h of x is equal to 48x minus 4

h of x is equal to 4x plus 48

h of x is equal to 4x minus 48

h of x is equal to 48x plus 4

Which set of ordered pairs represents a function?

start set 6 comma 8 comma 5 comma 2 comma negative 2 comma negative 5 comma1 comma negative 3 comma negative 2 comma 9 end set

start set negative 3 comma 1 comma 6 comma 3 comma negative 3 comma 2 comma negative 3 comma negative 3 comma 1 comma negative 1 end set

start set 3 comma negative 1 comma 7 comma 1 comma negative 6 comma negative 1 comma 9 comma 1 comma 2 comma negative 1 end set

start set open paren 2 comma negative 2 close paren comma open paren 1 comma 5 close paren comma open paren negative 2 comma 2 close paren comma open paren 1 comma negative 3 close paren comma open paren 8 comma negative 1 close paren end set

Three ounces of cinnamon cost 2 dollars 40 cents If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

38 dollars 40 cents

31 dollars 20 cents

12 dollars 80 cents

115 dollars 20 cents

Which graph could represent y , the amount owed on a car loan, as regular payments are made each month, x ?

Image with description A linear graph titled car loan. The x-axis is labeled number of car payments paid and the y-axis is labeled amount owned. A downward trending line with arrows on both ends is shown which indicates the number of car payments decreased as amounts owned increased.

Image with description A coordinate plane with unnumbered x and y axes titled Car loan. The x-axis is titled Number of Car Payments Paid and the y-axis is titled Amount Owed. A straight line is plotted in quadrant 1 parallel to the y-axis.

Image with description A linear graph titled car loan. The x-axis is labeled number of car payments paid and the y-axis is labeled amount owned. An upward trending line with arrows on both ends is shown which indicates the number of car payments increased as amounts owned increased.

Which recursive formula can be used to generate the sequence shown, where f of 1 is equal to 9 point 6 and n is greater than or equal to 1 ? 9 point 6 comma negative 4 point 8 comma 2 point 4 comma negative 1 point 2 comma 0 point 6 comma dots

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

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

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

f of n plus 1 is equal to negative 0 point 5 times f of n

Mr. Jones asks his students to generate the next two numbers in the sequence beginning negative 5 point 5 comma 11 comma dots Taquan suggests that the sequence is geometric and the next two numbers are negative 22 and 44 Julia suggests that the sequence is arithmetic and the next two numbers are 27 point 5 and 44 Which best explains which student is correct?

Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.

Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by negative 2 .

Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16 point 5 .

At a grocery store, blueberries come packaged in 8 -ounce containers for 2 point 8 0 dollars At a farmer's market, blueberries cost 4 point 2 0 dollars for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

Blueberries are 0 point 8 0 dollars per pound less expensive at the farmer’s market.

Blueberries are 0 point 5 0 dollars per pound less expensive at the farmer’s market.

Blueberries are 1 point 4 0 dollars per pound more expensive at the farmer’s market.

Blueberries are 0 point 2 3 dollars per pound more expensive at the farmer’s market.

Which value is an output of the function?

negative 2

negative 6

What is the range of the function on the graph?

all the real numbers

all the real numbers greater than or equal to 2

all the real numbers greater than or equal to negative 3

all the real numbers greater than or equal to 0

Which statement describes the relationship between x and y ?

As x increases, y decreases and then increases.

As x increases, y decreases.

As x increases, y increases and then decreases.

As x increases, y increases.

When f of x is equal to negative 3 , what is x ?

negative 1

negative 3

negative 29

negative 10

Which describes the pilot’s distance in section I?

zero

decreasing

constant

increasing

The program recommends a constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern. Which sets of values could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits? Choose three correct answers.

66 percent , 62 percent , 58 percent

67 percent , 72 percent , 77 percent

63 percent , 63 percent , 63 percent

66 percent , 69 percent , 72 percent

63 percent , 65 percent , 67 percent

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Representing Relationships — Test Answers

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