# Question: outcome can i use exponential and power functions to model...

###### Question details

*Outcome -**Can I use exponential and power functions to model real-world contexts?*

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1. Measurements of fossilised skulls show that during the millions of years of evolution the brain size of humans and their ancestors have been increasing exponentially. This increase can be described by the function

$V\left(t\right)=315+1085\times {2}^{1.23t}$ $-14\le t\le 0$

Where V is the volume of the brain in cubic centimetres and t is the time in millions of years from now.

a. *Australopithecus *were early humans living in Africa about 3 million years ago. What was the average size of their brains? What percentage of the average size of modern human brains does this represent?

b. *Ramapithecus *was one of our earliest ancestors, living about 14 million years ago. How large a brain did Ramapithecus possess?

*** Step by step explanation would be great ***