Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. Using complete sen
tences, describe to Erika how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Hint: Use the change of base formula: log base b of y equals log y over log b.
1 answer:
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This is something you do through trial and error. Making a list or a table like shown below might help.
Answer:
The time it will take the population to grow to 800 insects is 17 days.
Step-by-step explanation:
The growth function of the insects is exponential.
The exponential growth function is:
Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>t</em> = time taken
It is provided that there were 270 insects after 9 days and initially there were 80 insects.
Compute the value of <em>r</em> as follows:
Now, compute the time it will take the population to grow to 800 insects as follows:
Thus, the time it will take the population to grow to 800 insects is 17 days.