3 years ago

Help me please I need it for math tomorrow

Mathematics

1 answer:

34kurt3 years ago

6 0

Answer:

Step-by-step explanation:

i can't see it

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A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the

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Answer:

The reasonable domain to plot the growth function is the interval [0,9]

$0\ days\leq d\leq 9\ days$

Step-by-step explanation:

In this problem we have a exponential function of the form

$f(d)=a(b^d)$

where

f(d) is the radius of the algae in mm

d is the number of days

a is the initial value or y-intercept

b is the base

r is the rate of growth

b=1+r

we have

$a=9\ mm\\b=1.04\\r=1.04-1=0.04=4\%$

we have

$f(d)=9(1.04^d)$

For f(d)=12.81 mm

substitute in the function and solve for d

$12.81=9(1.04^d)$

$(12.81/9)=(1.04^d)$

Apply log both sides

$log(12.81/9)=log(1.04^d)$

$log(12.81/9)=(d)log(1.04)$

$d=log(12.81/9)/log(1.04)$

$d=9\ days$

therefore

The reasonable domain to plot the growth function is the interval [0,9]

$0\ days\leq d\leq 9\ days$

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