Exponential Growth

Question

Dissolving a chemical--The amount of a chemical that will dissolve in a solution increases exponentially as the (Celsius) temperature t is increased according to the model A(t) = 10e^0.0095t. At what temperature will 15g dissolve?

 

This is what I did so far. Its just not coming out right I think im making a mistake somewhere

 

15 = 10e^0.0095t

15/10 = e^0.0095t

ln 15/10 = ln e^0.0095t

ln 15/10 = 9.4999t

 

t = ln15/10

      9.4999

t = 0.0426

 

I don't know how to interpret that answer to Celsius or if its even right.

Answer 1

It looks like you have an error in the step where you evaluated ln(15/10).  It should be

 

ln(15/10) = ln(e^0.0095t)

 

0.405465 = 0.0095t

 

t = 0.405465 / 0.0095 = 42.68°C