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jek_recluse [69]
3 years ago
6

A bacteria culture is doubling in size of every day. If the bacteria culture starts at 5,200, write an equation for its populati

on size,p, as a function of the number of days ,d, since it started
Mathematics
1 answer:
ankoles [38]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

The equation is:

Total(t)=5200*(2)^{t}

<h2>Why?</h2>

It's an exponential growth problem, we can calculate the exponential growth using the following equation:

Total(t)=StartPopulation*(1+r)^{\frac{t}{2}}

Where,

Total, is the total population after "t" time in days.

Start population, for this is equal to 5,200

r,is equal to the percent of growth, for this case it's 100% each day.

t, is the time elapsed.

So, rewriting the equation, we have:

Total(t)=5200*(1+\frac{100}{100})^{t}

Total(t)=5200*(1+1)^{t}

Total(t)=5200*(2)^{t}

Have a nice day!

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