AnswersFL-1200330-Algebra 2Modeling Functions Using Finite Differences

Modeling Functions Using Finite Differences — Unit test Answers

21 verified answers
1
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The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

Question illustration
A
Each point in the data set falls on the regression line.
B
The regression model is an accurate representation of the distance for any number of hours hiked.
C
Each point in the data set is near the regression line.
D
The regression model is inaccurate, as it does not begin at (0, 0).
2
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Scientists studied a deer population for 10 years. They generated the function f(x) = 248(1.15)x to approximate the number of deer in the population x years after beginning the study. About how many deer are in the population 3 years after beginning the study?

A
251
B
377
C
856
D
1,003
3

The table shows some values of a function of the form y = ax2 + bx + c.The value of c, the constant of the function, is .

Answer not available
4

The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function , where t is the time in seconds since the rocket was shot and f(t) is the rocket’s height in feet. What is the maximum height the rocket reaches?

Question illustration
A
16 ft
B
36 ft
C
48 ft
D
144 ft
5

Maryanne throws a ball off the top of a building. The table shows the height of the ball in feet, f(t), at t seconds.

Question illustration
A
exponential
B
quadratic
C
linear
D
logarithmic
6

The graph below represents c, the amount a phone company charges, based on m, the number of minutes the customer uses each month. If there are a maximum of 44,640 minutes in a month, which equation best represents the phone company’s monthly charges?

Question illustration
A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
7

Choose the function that represents the data in the table.

Question illustration
A
y = 3x + 2
B
y = 3x2 + 2
C
y =
Option C
D
y = 3x + 2
8

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Question illustration
A
y = 47(1.191)x
B
y = 34(1.204)x
C
y = 26.9x – 1.3
D
y = 27x – 4
9

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

A
,
Option A
B
n = 1.5 t squared + 1.25
Option B
C
n = 1.5 t + 1.25
Option C
D
n = 1.25 times 2.5 Superscript t
Option D
10

The table shows the circumference of a tree in centimeters, y, at x years.Choose the function that represents the data.

Question illustration
A
y =
Option A
B
y = 2.7x
C
y = 2.7x
D
y = 2.7x2
11

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue = price number of backpacks.)

Question illustration
A
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.
12

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

Question illustration
A
0 to 5 minutes
B
0 to 18 minutes
C
0 to 30 minutes
D
18 to 30 minutes
13

The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = –0.78x + 95 models the data in the table.

Question illustration
A
45 minutes
B
72 minutes
C
83 minutes
D
118 minutes
14

The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.

Question illustration
A
y = 9,958(0.972)x
B
y = 0.972(9,958)x
C
y = 9,219x– 150
D
y = –150x + 9,219
15

The table shows the distance in feet, y, that a rocket traveled in x seconds.

Question illustration
A
y =
B
y = x25
C
y = 25x
D
y = 25x2
16

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828.

Question illustration
A
Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
B
Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
C
Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.
D
Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.
17

The table represents the temperature of a cup of coffee over time.

Question illustration
A
exponential, because there is a relatively consistent multiplicative rate of change
B
exponential, because there is a relatively consistent additive rate of change
C
linear, because there is a relatively consistent multiplicative rate of change
D
linear, because there is a relatively consistent additive rate of change
18

What type of function is represented in the table?

Question illustration
A
logarithmic
B
linear
C
exponential
D
quadratic
19

The graph shows the data points in the table and the exponential regression model associated with the data. Based on the graph of the regression model, which is true?

Question illustration
A
The number of weeds is decreasing by a multiplicative rate.
B
The number of weeds is increasing by a multiplicative rate.
C
The number of weeds is decreasing by an additive rate.
D
The number of weeds is increasing by an additive rate.
20

The table shows some values of a function of the form y = ax2 + bx + c.The value of c, the constant of the function, is .

Answer not available

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