Question 252912
we want a percent change formula. It is
{{{percent_change = 100*(end-start)/start}}}
we have 2 coordinates: (0,2.238) and (1,2.334).
{{{percent_change = 100*(2.334-2.238)/2.238}}}
{{{percent_change = 4.289544}}}%
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An exponential formula is:
{{{A = p*e^(rt)}}}
{{{A = 2.238*e^(.04289544*(2006-t))}}}
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{{{10 = 2.238*e^(.04289544*(2006-t))}}}
divide both sides by 2.238 to get
{{{4.46827 = e^(.04289544*(2006-t))}}}
take LN of both sides to get
{{{1.497 = .04289544*(2006-t)}}}
divide by .04289544 to get
{{{34.89887 = (2006-t)}}}
{{{t ~ 2040.89887}}}
The price per gallon will reach $10 by late 2040.