AnswersMathematics IIIRelationships Between Quantities

Relationships Between Quantities — Test Answers

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21
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A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box? cap v is equal to l w h cap p is equal to 2 times open paren l plus w close paren

A
y is equal to 5 open paren 28 minus x close paren x
B
y is equal to 5 open paren 14 minus 2 x close paren x
C
y is equal to 5 open paren 14 minus x close paren x
D
y is equal to 5 open paren 28 minus 2 x close paren x
22
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The graph shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is negative 16 the fraction with numerator ft and denominator s squared , which equation models the height of the projectile correctly? h of t is equal to A t squared plus v t plus h sub 0

A
h of t is equal to negative 16 t squared plus 42 t plus 5
B
h of t is equal to negative 16 t squared plus 32
C
h of t is equal to negative 16 t squared plus 32 t plus 5
D
h of t is equal to negative 16 t squared plus 5
23

Which function is most likely graphed on the coordinate plane?

A
f of x is equal to negative 4 x plus 12
B
f of x is equal to 3 x minus 11
C
f of x is equal to negative 5 x minus 19
D
f of x is equal to 4 x plus 13
24

What is the vertex of the absolute value function?

A
open paren 4 comma 1 close paren
B
open paren 4 comma negative 1 close paren
C
open paren 1 comma negative 4 close paren
D
open paren 1 comma 4 close paren
25

If f of x and its inverse function, f inverse of x , are both plotted on the same coordinate plane, where is their point of intersection?

A
open paren 3 comma 0 close paren
B
open paren 1 comma 4 close paren
C
open paren 0 comma 6 close paren
D
open paren 2 comma 2 close paren

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