Algebra

An oil spill from a tanker in pristine Prince Williams Sound in Alaska begins in a circular shape only 2 ft across. what happens to the area if the diameter is doubling each hour. How large
will the spill be in 24 h?

diameter= 2^(t+1) t is time in hours.


Area= PI*radius^2= PI (diameter/2)^2
= 1/4 PI * 2^(t+1)

check my thinking.

I think i understand the diameter part which it would be:
D= 2(t+1)
2(24+1)
2x25
D=50
I do not understand the Area part though.

Notice the diameter is an exponent. ^means to the power of , as

2^(t+2) is the same as 2t+1

Area is related to diameter by the equation I gave.

Area= 1/4 PI * 2(t+1)

why don't you just do an example and let me check it?

ok so is the answer (2to the 24 power)squared times pi after 24 hours?

No. Area= 1/4 PI *(2t+1)^2

or Area= 1/4 PI (224+1)^2
or Area= 1/4 PI (250)

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asked by Stacy

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