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Aleonysh [2.5K]
3 years ago
10

Which is the graph of f(x) = 2(3)x?

Mathematics
2 answers:
Andreyy893 years ago
6 0

Answer:

The last graph.

Hope this helps.

aliya0001 [1]3 years ago
4 0

I'm assuming the equation should be f(x) = 2(3)^x

If so, then plug in x = 1 to find that

f(x) = 2(3)^x\\\\f(1) = 2(3)^1\\\\f(1) = 2(3)\\\\f(1) = 6\\\\

Showing the point (x,y) = (1,6) is on the curve. Only choice A reflects this. So choice A is the answer.

Choices B,C, and D can be ruled out. For instance, with choice B, plugging in x = 2 leads us to get

f(x) = 2(3)^x\\\\f(2) = 2(3)^2\\\\f(2) = 2(9)\\\\f(2) = 18\\\\

Indicating that (2,18) is on the curve instead of (2,12). This shows choice B is not a a valid answer. Similar situations will happen with C and D.

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you need to substitute values on the next form of resolving this problem as  follows...

A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?

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Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?

 

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