Answers 25-26 CRX Math Models with Applications 7052AUnit Test

Unit Test — Unit test Answers

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The height, h, in feet of a ball suspended from a spring as a function of time, t, in seconds can be modeled by the equation . Which of the following is the graph of this equation?

On a coordinate plane, a curve crosses the y-axis at (0, 5). It increases to (2, 8), and then decreases to (6, 2).

On a coordinate plane, a curve crosses the y-axis at (0, 8). It decreases to (4, 2), and then increases to (8, 8).

On a coordinate plane, a curve crosses the y-axis at (0, 5). It increases to (1, 8), and then decreases to (3, 2).

On a coordinate plane, a curve crosses the y-axis at (0, 5). It decreases to (2, 1), and then increases to (3, 8).

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Consider the reflectional symmetry of the shape.

Which shows a translation of octagon A three units right to form octagon A'?

Option

Consider the reflectional symmetry of the rhombus.

Two triangular prisms are similar. The perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism. How are the surface areas of the figures related?

The surface areas are the same.

The surface area of the larger prism is 2 times the surface area of the smaller prism.

The surface area of the larger prism is 4 times the surface area of the smaller prism.

The surface area of the larger prism is 8 times the surface area of the smaller prism.

Which describes an isometric transformation?

dilation

rotation

side length change

angle change

A cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?

Option

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a.m.

h = 0.5 cosine (StartFraction pi Over 12 EndFraction t) + 9.5

h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5

h = cosine (StartFraction pi Over 12 EndFraction t) + 9

h = cosine (StartFraction pi Over 6 EndFraction t) + 9

Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon have?

Which statements are true about the relationship between the figures? Select three options.

Quadrilateral A'B'C'D' is an isometric transformation of quadrilateral ABCD.

Angle D' will have the same measure as angle B.

Angle C' will have the same measure as angle A.

Segment AB can be obtained through an isometric transformation of segment BC.

Segment C’D’ cannot be obtained through an isometric transformation of segment AD.

The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.

Option

The graph shows trapezoid F'G'H'J'.

FJ must be parallel to GH.

FG must have the same measure as HJ.

JH must be perpendicular to H'J'.

JJ' must be the same distance as HH'.

The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotations every minute. Which of the following equations can be used to model h, the height in feet of the end of one blade, as a function of time, t, in seconds? Assume that the blade is pointing to the right, parallel to the ground at t = 0 seconds, and that the windmill turns counterclockwise at a constant rate.

h = negative 10 sine (StartFraction pi Over 15 EndFraction t) + 35

h = negative 10 sine (Pi t) + 35

h = 10 sine (StartFraction pi Over 15 EndFraction t) + 35

h = 10 sine (Pi t) + 35

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when and that the windmill turns counterclockwise at a constant rate.

y = 30 sine (StartFraction pi Over 15 EndFraction t) + 10

y = 30 sine (StartFraction pi Over 15 EndFraction t) + 30

y = 10 sine (StartFraction pi Over 15 EndFraction t) + 10

y = 10 sine (StartFraction pi Over 15 EndFraction t) + 30

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π square inches. The radius of the smaller cone is 6.4 inches. What is the radius of the larger cone?

8 inches

10 inches

11.52 inches

14.4 inches

Which image does not have reflective symmetry?

Option

Analyze the reflectional symmetry of the letters.

A and Y

R and N

I and Y

A and N

Starting at its rightmost position, it takes 2 seconds for the pendulum of a grandfather clock to swing a horizontal distance of 18 inches from right to left and 2 seconds for the pendulum to swing back from left to right. Which of the following equations models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds? Assume that right of center is a positive distance and left of center is a negative distance.

d = 9 cosine (StartFraction pi Over 4 EndFraction t)