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Aleks04 [339]
2 years ago
12

For every $9 invested in company A, $2 is invested in company B. Stacey quizzes her children, Krista and Kevin, about how much m

oney she will invest in company A if she invests $24 in company B. Krista and Kevin used two different methods to arrive at the answer to Stacey's problem. Let's see who found the correct answer and how. You'll answer some questions along the way.
Mathematics
1 answer:
svet-max [94.6K]2 years ago
7 0

Answer:

$108

Step-by-step explanation:

From the above question, we have the proportion:

Company A/Company B

= $9/$2 = x/x24

The next step is : We Cross Multiply

2x = $24 × $9

x = $24 × $9/2

x = $108

Therefore, she will invest in $108 company A if she invests $24 in company B.

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<h2>Hello!</h2>

The answer is:

There will remain a total of 134 bacteria after 7 minutes.

<h2>Why?</h2>

Exponential decay calculations are commonly used to find the decrease of amounts of populations, bacterias, and other situations when using proportional relationships. In order to find the problem, we must remember the equation used to calculate the exponential decay.

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We are given that the numbers of bacteria decrease by 50 after 5 minutes, starting with 200, and after 5 minutes the number of bacteria is 150

Calculating the rate of decrease, we have:

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Bacteria(After7Minutes)=200(1-0.25)^{\frac{7}{5}}=133.69

So, rounding to the nearest whole number, there will remain a total of 134 bacteria after 7 minutes.

Have a nice day!

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