There are 72 mice in Mouse Town. The population of mice in mouse town doubles every 8 months. How long ago was the population of mice less than ten? Make brainlest ( don't remember what's it called)

aka 24 months

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Explanation:

The population follows this function

y = 72*(2)^x

where x is the number of eight-month periods and y is the population.

So if for instance we had x = 2, then it represents two periods of 8 months each, giving 2*8 = 16 months total.

Normally with timescale problems like this, negative time values do not make sense. However, having x be negative will allow us to look back in time to figure out when y < 10.

Let's see what x is when y = 10.

y = 72*(2)^x

10 = 72*(2)^x

10/72 = 2^x

0.1389 = 2^x approximately

log(0.1389) = log(2^x)

log(0.1389) = x*log(2)

x = log(0.1389)/log(2)

x = -2.8479 also approximate

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If x = -2, then,

y = 72*(2)^x

y = 72*(2)^(-2)

y = 18

and if x = -3, then,

y = 72*(2)^x

y = 72*(2)^(-3)

y = 9

This means that 3 eight-month periods ago, the population was less than 10 mice.

So this is 3*8 = 24 months = 2 years.

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Checking the

If we were to start at 9 mice and double the population, then it goes to 18 mice. Then that doubles to 36, and so on.

Here's a table showing this process

The table confirms the answer of 24 months = 2 years.

The process of using logs is almost like reversing this process shown in the table.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.