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1. ) The area in square meters of a pond covered by an algae bloom decreases exponentially after a treatment is applied fill out the table giving the area covered by the algae in square meters D (days) after the treatment is applied.

2. ) Another Pond has an algae bloom that is also decreasing exponentially. The area of this bloom in square meters is given by the function B(D) = 100 * 2^-D / 7,where D is days since the first measurement of the bloom. Which of the two algae blooms was larger initially? which is decreasing more quickly? and explain how you know

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ogorwyne ogorwyne · Answer 1 · 2022-03-28T15:55:25+02:00

The table has been filled out in the attachment given in the answer

1. These are the values to fill out the table

We have A(d) = [tex]150.k^d[/tex]

k = √1/2

[tex]A(d) = 150*\frac{1}{2} ^d^/^2[/tex]

When d = 1

[tex]A(d) = 150*\frac{1}{2} ^1^/^2[/tex]

A(d) = 75√2

= 106.1

When A(d) = 3

[tex]\frac{75\sqrt{2} }{2} = 53[/tex]

When we substitute the value of A(d) = 4

= 37.5

2. B(D) = 100 * 2^-D / 7

[tex]2^-^1^/^2 < 2^-^1^/^7[/tex]

The two algae blooms that is larger initially is A(D) Also the one that is increasing more quickly is also A(D).

Read more on exponential calculations here:

https://brainly.com/question/15472556