Answered

If f, of, xf(x) is an exponential function where f, of, minus, 0, point, 5, equals, 28f(−0.5)=28 and f, of, 8, point, 5, equals, 88f(8.5)=88, then find the value of f, of, 1, point, 5f(1.5), to the nearest hundredth.



Answer :

polwade
The answer should be f(1.5) = 36.39 (rounded)

f(x) = ab^x
28 = ab^(-0.5)
88 = ab^(8.5)

88/28 = b^[8.5-(-0.5)]
b = 88/28^1/9 = 1.14

so a = 28/(1.14^-0.5) = 29.90 (rounded)
f(x) = 29.90 x 1.14^x
f(1.5) = 29.90 x 1.14^(1.5)

f(1.5) = 36.39

Other Questions