AnswersFL-1200330-Algebra 2 CRModeling with Functions

Modeling with Functions Answers

20 verified answers5 views
1
Free Preview

A science teacher wrote the table of values below.Amount of Hydrogen vs. pHAmount of Hydrogen, x(in moles per liter)pH, f(x)12345Which function models the data in the table?

Question illustration
A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
2
Free Preview

Kareem wants to write an equation for the data in the table below.xy–3–2–101What is the general form of the equation Kareem can use to represent the data?

Question illustration
A
y = m x + b
Option A
B
y = a b Superscript x
Option B
C
y = a x squared + b x + c
Option C
D
, where
Option D
3

Ramiro drew the graph below.Which equation represents the data in the graph?

Question illustration
A
y = x squared minus 8 x + 16
Option A
B
y = 5.5 x squared minus 0.5 x + 4
Option B
C
y = x squared + 4 x + 4
Option C
D
y = 2.5 x squared minus 0.5 x + 4
Option D
4

A rectangle with constant area has possible lengths and widths as shown in the table below. Width vs. Length of a RectangleWidth (w)Length (l)237.5418.75612.589.375Which equation can be used to find any corresponding length and width that fit the pattern in this table?

A
, where l is the length, w is the width, and k is a constant ()
Option A
B
, where l is the length, w is the width, and m and b are constants
Option B
C
, where l is the length, w is the width, and k is a constant
Option C
D
, where l is the length, w is the width, and a is a constant
Option D
5

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below., where l is the length of the pendulum in feetWhat is the approximate length of a pendulum that takes seconds to swing back and forth?

Question illustration
A
1.72 ft
B
3.05 ft
C
38.40 ft
D
46.08 ft
6

The amount of water pressure exerted on a scuba diver varies with depth. The graph below shows the relationship between pressure, p, in atmospheres, and depth, d, in ft.Depth of Water and Water PressureBased on the information in the graph, what is the water pressure at sea level?

Question illustration
A
atm
Option A
B
atm
Option B
C
0 atm
D
1 atm
7

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. The stopping distances and speeds are shown in the table below.Stopping Distance of a Car vs. SpeedStopping Distance, d (in feet)Speed, s (in miles per hour)2017.894025.306030.988035.7810040.00Which equation best represents the data in the table?

A
s = 4 StartRoot d EndRoot
Option A
B
s = 0.37 d + 20
Option B
C
s = 13.7log(d)
D
s = StartFraction 1 Over 25 EndFraction d squared
Option D
8

A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased?

A
, or approximately $11,093
Option A
B
, or approximately $17,500
Option B
C
, or approximately $18,984
Option C
D
, or approximately $24,575
Option D
9

Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the data with a linear equation?

A
The products of corresponding x- and y-values are equal.
B
The ratios of consecutive y-values are equal for evenly spaced x-values.
C
The y-values are the reciprocals of the corresponding x-values.
D
The change in y-values is constant for evenly spaced x-values.
10

Tasha invests $5,000 at 6% annual interest and an additional $5,000 at 8% annual interest. Thomas invests $10,000 at 7% annual interest. Which statement accurately compares Tasha’s and Thomas’s investments if interest is compounded annually?Compound interest formula: t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t years

Question illustration
A
Each person will have exactly the same amount over time because each invested $10,000 at an average interest rate of 7%.
B
Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
C
Thomas’s investment will yield more from the start because he has more money invested at the average percentage rate.
D
Tasha’s investment will yield more at first because she invested some at a higher rate, but Thomas’s investment will yield more over the long run.
11

Which of the following statements about prescription drugs is FALSE?

A
They are medicines.
B
They can become illegal.
C
They require a prescription.
D
They can be resold freely.
12

Not all drugs are considered medicines because __________.

A
they are chemically different substances
B
the government defines drugs and medicines separately
C
medicines are used to cure, treat, and prevent diseases
D
drugs cannot be purchased in pharmacies
13

Psilocybin is a type of __________.

A
stimulant
B
narcotic
C
hallucinogen
D
inhalant
14

Which of the following is NOT a major source of pressure that influences teens to seek escape through drug abuse?

A
family demands and expectations
B
a supportive network of friends
C
difficult school assignments
D
stressful jobs and activities
15

Why are drugs like depressants described as the opposite of amphetamines?

A
Depressants can induce feelings of euphoria while stimulants can cause severe pain.
B
Depressants can result in death while stimulants cannot.
C
Stimulants slow breathing and heart rate while depressants increase those functions.
D
Stimulants increase breathing and heart rate while depressants slow these functions.
16

Hallucinogens distort an individual's perceptions of reality.

A
T
B
F
17

The nonmedical use of a drug would be an example of drug abuse.

A
T
B
F
18

Why might overweight people choose to abuse a stimulant?

A
to lose weight
B
to lower their blood pressure
C
to reduce panic attacks
D
to help them sleep
19

Drugs are substances that cause a change in a person's physical but not mental state.

A
T
B
F
20

Which of the following statements BEST describes tobacco?

A
It is an illegal drug.
B
It is legal for people age 21 and older.
C
It is legal for people age 16 and older.
D
It is always legal to use tobacco.

Did you find these answers helpful?

More from this Course

Quiz
13 verified answers

Performance Task: Production Schemes

Quiz
10 verified answers

Modeling with Functions

Quiz
10 verified answers

Modeling with Functions