document.write( "Question 1059578: Write the equation of an exponential function that passes through the points (2, 48) and (5, 750). \n" ); document.write( "
Algebra.Com's Answer #674640 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! y=b^x \n" ); document.write( "48=ab^2 \n" ); document.write( "750=ab^5 \n" ); document.write( "divide the last by the middle \n" ); document.write( "750/48=b^3=15.625 \n" ); document.write( "b=cube root of 15.625=2.5 \n" ); document.write( "a2.5^2=48 \n" ); document.write( "6.25a=48 \n" ); document.write( "a=7.68 \n" ); document.write( "7.68*(2.5^5)=750. \n" ); document.write( "The function is f(x)=7.68(2.5)^x \n" ); document.write( " \n" ); document.write( "A check is that (4,300) should work. See the graph. \n" ); document.write( " |