Question 1148671
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Substitute the two given points into the general formula for an exponential function,<br>
{{{y = a*b^x}}}<br>
(1) {{{3/5 = a*b^(-1)}}}
(2) {{{375 = a*b^3}}}<br>
Divide (2) by (1):<br>
{{{375/(3/5) = (ab^3)/ab^(-1)}}}
{{{625 = b^4}}}<br>
{{{b = 5}}}<br>
Use that value of b in one of the original equation to determine the value of a.<br>
{{{375 = a*5^3 = 125a}}}
{{{a = 3}}}<br>
ANSWER: The function is {{{y = 3*(5^x)}}}<br>