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For this problem, we are told that the percentage of households with multiple tv sets from the year 2000 through 2010 grew at the approximate rate of r of t equals 0 .7 for t between 0 and 10.
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We're told that the percentage of american households owning multiple tv sets stood at 75 % in the year 2000.
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At t equal zero, we are asked to find an expression giving the approximate percentage of households owning multiple tv sets in the year t, as well as what percentage of households owned multiple tv sets in the year t, as well as what percentage of households owned multiple tv sets in.
00:31
2010.
00:32
So to begin, what we want to find, n of t here, the number, that is going to be the antiderivative of our rate.
00:40
So the anti -derivative of 0 .7 is going to be 0 .7 times t plus some constant.
00:46
Now, what we can do here is we know that when t is equal to 0, we have that the number was 75%, or we can write this as 0 .75.
00:58
So we have 0 .75, and then that's going to equal 0 .7 times 0 plus c...