Function word problem help.The number of households in a certain community is given by h(t) = 1.26t^2+7800 households t years after 2001. The proportion (expressed as a decimal) of the households...

Function word problem help.

The number of households in a certain community is given by h(t) = 1.26t^2+7800 households t years after 2001. The proportion (expressed as a decimal) of the households in this same community that have DVD recorders is given by p(t) =0.663 / (1+3781e^(1.875t)) t years after 2001.

(a) What does C(t) = h(t)p(t) represent?

I believe :

C(t) is the number of households in a certain community that have DVD recorders, (t) years after 2001.

But i kind of thought about it and isnt that what r(t) is? Can anyone help me shed some light on this question

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justaguide's profile pic

Posted on

I have no idea what you are referring to by r(t).

C(t) is the number of households that have DVD recorders after t years. This is definitely true.

It follows from the fact that h(t) = 1.26t^2 + 7800 is the number of households in year t. p(t) =0.663 / (1+3781e^(1.875t)) is the proportion of people who have a DVD recorder in year t.

The product of the two C(t) = h(t)*p(t) is the proportion of the total number of households that have a DVD recorder. This is nothing but the total number of households that have a DVD recorders.

C(t) is the number of households in a certain community that have DVD recorders in the year t.

colege's profile pic

Posted on

Kind of messed up on my question, but looks like you deciphered it.

 

Thanks again, your a lifesaver!

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