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
kondor19780726 [428]
2 years ago
14

(03.04 MC) Two pieces of bread, banana and whole wheat, were left out on a kitchen counter and mold began to grow on them. The a

rea of mold growth B(t), in mm2, on the piece of banana bread present after time t weeks, can be represented by the equation B(t) = 20(1.06)t. The area of mold growth W(t), in mm2, present on the piece of whole wheat bread after t weeks is represented in the table. t (in weeks) 1 2 3 4 W(t) (in mm2) 40.8 41.62 42.45 43.30 Which statement best compares the mold growth rates of the banana bread and the whole wheat bread? Question 16 options: The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was twice the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was half the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was a third the mold growth rate of the whole wheat bread.
Mathematics
2 answers:
vodomira [7]2 years ago
8 0

Answer:

  (a)  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

Step-by-step explanation:

The equation for exponential growth can be written in the form ...

  f(t) = a·b^t

where a is the initial value, and b is the growth factor for time period t. The growth factor is related to the growth rate by ...

  b = 1 +r . . . . . where r is the growth rate in time period t

__

<h3>banana bread</h3>

The equation for the area of mold on the banana bread is given as ...

  B(t) = 20·1.06^t

Comparing to our generic equation, we see ...

  • a = 20
  • b = 1.06 = 1 + 0.06

The growth rate of the mold on the banana bread is given as 0.06 = 6% per week.

__

<h3>whole wheat bread</h3>

We are given some values of t and area that we can use to find the growth rate of mold on the whole wheat bread.

  W(1) = 40.8 = a·b^1

  W(4) = 43.30 = a·b^4

The ratio is ...

  W(4)/W(1) = (a·b^4)/(a·b^1) = b^3 = 43.30/40.8

Then the value of b can be found to be ...

  b = ∛(43.30/40.8) ≈ 1.02002 ≈ 1 + 0.02

The growth rate of mold on the whole wheat bread is about 0.02 = 2% per week.

__

<h3>comparison of growth rates</h3>

The mold growth rate on the banana bread compared to that on the whole wheat bread is ...

  (banana bread growth rate)/(whole wheat bread growth rate) = 6%/2% = 3

We can conclude ...

<em>   The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread</em>

larisa86 [58]2 years ago
3 0

The statement which best compare the mold growth rates is: C. the mold growth rate of the banana bread was half the mold growth rate of the whole wheat bread.

<h3>How to compare the mold growth rates?</h3>

First of all, we would determine area of mold growth B(t) on the piece of banana bread by using this equation:

B(t) = 20(1.06)^t

At t = 1, we have:

B(t) = 20(1.06)^1

B(t) = 21.2 mm².

At t = 2, we have:

B(t) = 20(1.06)^2

B(t) = 22.47 mm².

At t = 3, we have:

B(t) = 20(1.06)^3

B(t) = 23.82‬ mm².

At t = 4, we have:

B(t) = 20(1.06)^4

B(t) = 25.25‬ mm².

Now, we can compare the mold growth rates by using this expression:

B(t) = xW(t)

x = B(t)/W(t)

x = 21.2/40.8

x = 0.5.

At t = 2, we have:

x = 22.47/41.62

x = 0.5.

At t = 3, we have:

x = 23.82/42.45

x = 0.5.

At t = 4, we have:

x = 43.30/25.5

x = 0.5.

Read more on growth rate here: brainly.com/question/9479649

#SPJ1

You might be interested in
Unit rate feet per second 180 miles over 2 hours
Tatiana [17]
So that is equal to 180 miles per 2 hours which is 90 miles per hour if each hour has the same m/hr rate.
You can set up a proportion:
let x = number of miles per hour
\frac{x}{180} = \frac{1}{2}
cross multiply and you get
2x=180
divide both sides by 2 and you get
x=90
so you get the same answer both ways,
90 miles per hour
5 0
3 years ago
I REALLY NEED HELP!
anastassius [24]

\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3700\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &7 \end{cases} \\\\\\ A=3700e^{0.045\cdot 7}\implies A=3700e^{0.315}\implies A\approx 5069.96

8 0
3 years ago
Read 2 more answers
The current of a river is 4 miles per hour. A boat travels to a point 30 miles upstream and back in 4 hours. What is the speed o
Kobotan [32]

If it took 4 miles per hour you multiply that twice cuss its traveling back then forth so you repeat the same process 30 miles times 2 which is 60 hope this helps.

5 0
3 years ago
I need help please ASAP !
Natasha2012 [34]

Answer:

III only

Step-by-step explanation:

lkjhgfdsaasdfghjkjhgf

3 0
2 years ago
Read 2 more answers
Find the slope of the line.
Minchanka [31]
It is 25.6802490 tell me if you got it right and pls give me a brainialist
5 0
3 years ago
Read 2 more answers
Other questions:
  • What’s the estimate of345,245+567,321
    9·1 answer
  • Jared wrote an equation for the perimeter of an equilateral triangle as 3x = 20. What does x represent in his equation?
    15·2 answers
  • 2x + 7y = - 10<br> 2x + 2y = 20
    14·2 answers
  • Given the points S(-4,-2) and T(-1,0) what is the length of ST
    5·1 answer
  • Notice that the alternative hypothesis is a two-tailed test. Suppose ttest_ind method from scipy module is used to perform the t
    14·1 answer
  • A drink is made by mixing pineapple juice, orange juice and lime juice in the ratio 2:7:3. How much pineapple juice is used
    11·1 answer
  • A plumber had two pipes. The ratio of the length of the longer pipe to the
    13·1 answer
  • What is the volume of the prism?
    9·1 answer
  • The average weight of a male African elephant is 15,000 pounds. How many tons is this?
    6·2 answers
  • Solve the equation: p= n + m + k for n. Please explain also and I will put as brainliest answer!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!