1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ivan
3 years ago
11

Suppose that a​ person's peak blood alcohol level is 0.07 ​(grams per 100​ mL) and that this level decreases by 40​% each hour.

​a) What is the hourly decay​ factor? ​b) Write an exponential function ​B(x)equalsCa Superscript x that models the blood alcohol level after x hours. ​c) Evaluate ​B(2​) and interpret the result.
Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

a) Hourly decay factor = 0.6

b) B(x) = 0.07(0.6)^x

c) B(2) = 0.0252

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Step-by-step explanation:

Since the function is an exponential function, it can be modeled as:

B(x) = C (1 + r)^x

Where the peak blood alcohol level, C = 0.07

Since the blood level decreases by 40%(0.4) every hour, r = -0.4

The hourly decay factor is given by a = 1 + r

a = 1 + (-0.4) = 1 - 0.4

a = 0.6

Therefore, the hourly decay factor = 0.6

b) The exponential function is:

B(x) = Ca^x

Where a = 1 + r = 0.6

C = 0.07

B(x) = 0.07(0.6)^x

c) Evaluate B(2)

Substitute x = 2 into the exponential function gotten in part (b)

B(2) = 0.07(0.6)^2\\B(2) = 0.0252

This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours

Natalija [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

f(x) = Ca^x

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

f(x)=0.07(0.6)^x

<h3>Therefore, hourly decay factor is 0.6</h3>

b)

Here the hourly decay factor is 0.6

B(x)=ca^x\\\\0.07(0.6)^x

c) Evaluate

B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g

0.0252g or 100mL

<h3>Thus, after 2 hours the blood is 0.0252g or 100mL</h3>
You might be interested in
What is the simplified form of the expression?
BaLLatris [955]
The simplified form of the expression is 729x^33
7 0
3 years ago
Read 2 more answers
Which box-and-whisker plot represents this data
Lady_Fox [76]
The fist box and whisker plot correctly represents the data
5 0
3 years ago
What are the x-intercepts of y=2x^2+6x-20?
NISA [10]

Answer:

the x-intercepts are -5 and 2

Step-by-step explanation:

y=2x^2+6x-20

x-intercept is when y is set equal to zero

So, y = 0

0 = 2x^2+6x-20

2x^3+6x-20 = 0\\Taking \ 2 \ common\\2(x^2+3x-10) = 0\\Dividing \ both \ sides \ by \ 2\\x^2+3x-10 = 0\\Using \ mid\ term \ break \ formula\\x^2+5x-2x-10 = 0\\x(x+5)-2(x+5)=0\\Taking \ (x+5) \ common\\(x+5)(x-2) = 0

Either,

x+5 = 0    <u><em> OR </em></u>    x-2 = 0

x = -5       <u><em> OR  </em></u>     x = 2

So, the x-intercepts are -5 and 2

7 0
3 years ago
Read 2 more answers
Helpppp plzzzzzzzzzzzzzzz
marin [14]

Answer:

y= 0.2(0.05)^x

5 0
3 years ago
What is 7 times 0.10 show your work
Vika [28.1K]

Answer:

0.7

Step-by-step explanation:

7 x 0.10

=> 7 x 0.1

=> 7 x 1/10

=> 7/10

=> 0.7

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of MN?<br><br> 58 cm<br> 75 cm<br> 88 cm<br> 116 cm
    15·2 answers
  • A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selecte
    9·1 answer
  • The amount of money that college students spend on rent each rent month is usually between 300 and 600.However there are a few s
    13·1 answer
  • Convert the fraction or decimal to its equivalent percent.<br><br>.007=
    8·1 answer
  • It is a 3 km hike to the river PJ walks for 500 m then he walks another 1050 m how
    13·1 answer
  • In a diagram shown,
    15·1 answer
  • From car models to colors
    12·1 answer
  • What is the value of q? <br> 2/5<br> 2/14
    15·1 answer
  • 19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?
    12·1 answer
  • What is the next number in the following series of numbers? 1, 4, 8, 13, 19, ___
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!