Question 1156098
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The other tutor made an ugly problem out of this by changing one of the numbers halfway through her work....<br>
{{{y = ba^(-x)+c}}}<br>
(1) Horizontal asymptote y=34 means c=34.
{{{y = ba^(-x)+34}}}<br>
(2) y-intercept 659 gives us the value of b:
{{{659 = b(a^0)+34}}}
{{{b = 625}}}<br>
(3) Use the given point (2,134) to find a:
{{{134 = 625a^(-2)+34}}}
{{{100 = 625a^(-2)}}}
{{{a^2 = 625/100}}}
{{{a = 25/10 = 2.5}}}<br>
ANSWER: {{{y = 625(2.5)^(-x)+34}}}<br>