Formative #7 - Unit 5 Select all situations that are accurately described by the expression 15. 3^5.
A. A population of bacteria begins at 15,000. The population triples each hour. How many
bacteria are there after 5 hours?
B. A population of bacteria begins at 15,000. The population triples each hour. How many
thousand bacteria are there after 5 hours?
C. A population of bacteria begin at 15,000. The population quintuples each hour. How
many thousand bacteria are there after 3 hours?
D. A bank account balance is $15. The account balance triples each year. What is the bank
account balance, in dollars, after 5 years?
E. A bank account balance is $15,000. It grows by $3,000 each year. What is the bank
account balance, in thousands of dollars, after 5 years?

Formative #7 - Unit 5

Select all situations that are accurately described by the expression 15. 3

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Ответ:

zach32131

12.09.2020

Mathematics

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (), measured in square inches, is directly proportional to the square of its diameter (), measured in inches. That is:

$A \propto d^{2}$

$A = k\cdot d^{2}$

Where is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

$\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}$

The area of the circle B is now cleared:

$A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}$

Given that $d_{A} = 20\,in$ , $d_{B} = 60\,in$ and $A_{A} = 300\,in^{2}$ , then:

$A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})$

$A_{B} = 2700\,in^{2}$

Therefore, the correct answer is 4.

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