AnswersPBCSD_Grade_Forgiveness_1207350_Mathematics_for_College_Liberal_Arts_S2_2023Unit Test

Unit Test — Unit test Answers

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The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

Question illustration
A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
2
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The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

Question illustration
A
1.5
B
2
C
13
D
15.5
3

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

3
3.2 feet
4
4.8 feet
5
5.6 feet
6
6.8 feet
4

Drew creates a table of ordered pairs representing the width and area of a dog pen.

Question illustration
D
Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.
D
Drew has a maximum of 81 feet of fencing to use around the pen, and the length must be twice the width.
D
Drew is building a rectangular dog pen with a length that is up to 4 feet more than the width and has a perimeter of at least 77 feet.
D
Drew wants to build a dog pen that is between 7 feet and 11 feet in width and uses, at most, 18 feet of fencing.
5

The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Question illustration
A
y = ax + b
B
y = ax2 + b
C
y = abx
D
y = a + bx
6

The graph shows the exponential regression model for data representing a rabbit population after x years.

Question illustration
T
The graph of the regression model is limited to whole-number values for x.
T
The graph of the regression model is limited to whole-number values for y.
T
The graph of the regression model cannot be used to approximate the population size for year 1.
T
The graph of the regression model can be used to predict the population size for any number of years in the future.
7

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

Question illustration
–
–2.75
0
0.25
1
1.75
2
2.25
8

Choose the function that represents the data in the table.

Question illustration
A
y = x2
B
y = 3x2
C
y = x2 + 3
D
y = 2x + 3
9

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

A
Their equations have the same slopes and y-intercepts.
B
Their equations have different slopes and y-intercepts.
C
Their equations have different y-intercepts but the same slopes.
D
Their equations have the same y-intercepts but different slopes.
10

The table shows the daily pay in dollars, f(x), earned by a salesperson who makes x number of sales.

Question illustration
A
f(x) = 50x2 + 200
B
f(x) = x50 + 200
C
Option
D
f(x) = 50x + 200
11

The table shows a company’s profit based on the number of pounds of food produced.

Question illustration
$
$5,150
$
$5,300
$
$10,150
$
$11,000
12

Choose the function that represents the data in the table.

Question illustration
A
y =
Option A
B
y = 2x – 3
C
y = 2x – 3
D
y = 2x2 – 3
13

Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long.

Question illustration
A
f(x) = x2 + 2x
B
Option
Option B
C
f(x) = 2x2
D
f(x) = 2x
14

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
A
14
B
20
C
45
D
54
15

For which scatterplot is the correlation strongest?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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