AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PRegression Models

Regression Models — Cumulative exam Answers

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1
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A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using . Which statement is true?

Question illustration
A
The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
B
The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
C
The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.
D
The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.
2
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A sequence is defined by the explicit formula . Which recursive formula represents the same sequence of numbers?

Question illustration
A
mc026-2.jpg
Option A
B
mc026-3.jpg
Option B
C
mc026-4.jpg
Option C
D
mc026-5.jpg
Option D
3

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
4

Which equation is the inverse of y = 7x2 – 10?

A
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
Option A
B
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
Option D
5

What is the range of ?

Question illustration
a
all real numbers not equal to 0
a
all real numbers less than 6
a
all real number greater than 6
a
all real numbers
6

A basketball player’s free-throw percentage is the ratio of the number of successful shots made to the number of shots attempted. A basketball player has made 13 of the first 20 free throws she has attempted this season. Which rational expression can be used to find the free throw percentage for the season if she successfully makes her next x free-throw attempts?

A
mc017-1.jpg
Option A
B
mc017-2.jpg
Option B
C
mc017-3.jpg
Option C
D
mc017-4.jpg
Option D
7

Which statement is true about the discontinuities of the function f(x)?

Question illustration
T
There is a hole at x = 2.
T
There are asymptotes at x = 0 and x = –1.
T
There are asymptotes at x = 0 and x = –1 and a hole at .
Option T
T
There are holes at x = 0 and x = –1 and an asymptote at x = 2.
8

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.
9

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
10

Which statements comparing the graphs of function 1 and function 2 are true? Check all that apply.

A
Function 1 has a hole, while function 2 does not.
B
Function 1 has an oblique asymptote, while function 2 does not.
C
Function 2 has a hole, while function 1 only has asymptotes.
D
Function 2 only has asymptotes, while function 1 has a hole.
E
Both functions have the same domain restriction.
F
Both functions have the same vertical asymptote.
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

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(5, −6)
B
(−5, −6)
C
(5, 6)
D
(−5, 6)
13

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

A
4 mph
B
7 mph
C
10 mph
D
12 mph
14

What is the solution to the equation ?

Question illustration
A
n = –4, n = –1
B
n = –1
C
n = 1
D
n = 1, n = 4
15

What is the quotient?

Question illustration
A
StartFraction 1 Over 2 y EnDfraction
Option A
B
StartFraction 3 y + 2 Over 6 y squared EndFraction
Option B
C
StartFraction 1 Over y EndFraction
Option C
D
StartFraction 2 (3 y + 2) Over 3 EndFraction
Option D
16

The table below shows the different times it takes Paula to drive to her grandmother’s house depending on the rate at which she drives.Rate vs. TimeRate (mph)30405060Time (h)2.51.8751.51.25If one day Paula rides a scooter to her grandmother’s house at a constant rate of 24 miles per hour, how long should it take her?

A
2.625 hours
B
2.75 hours
C
3.125 hours
D
3.75 hours
17

Jerome solved the equation below by graphing.Which of the following shows the correct system of equations and solution?

Question illustration
A
; x = 3
Option A
B
; x = 4
Option B
C
; x = 33
Option C
D
; x = 44
Option D
18

The two expressions below have the same value when rounded to the nearest hundredth.What is the approximate value of to the nearest hundredth?

Question illustration
A
0.93
B
1.23
C
9.16
D
65.53
19

The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.Flow rate, x(gal/hr)Time, y(hours)60300454003650030600How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?

A
100 hours
B
150 hours
C
180 hours
D
200 hours
20

Which statement best describes and the parent function ?

Question illustration
A
The domains of g(x) and f(x) are the same, but their ranges are not the same.
B
The ranges of g(x) and f(x) are the same, but their domains are not the same.
C
The ranges of g(x) and f(x) are the same, and their domains are also the same.
D
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

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