Question

Write an exponential function y=ab^x for a graph that includes (1,15) and (0,6).
a. y=6(2.5)^x
b.y=3(5)^x
c.y=2.5(6)^x
d.y=5(3)^x

Answer 1

Correct answer is A.

$(1,15),(0,6) \\y=ab^x \\15=ab \\6=ab^0 \\a=6 \\b= \frac{15}{6} = \frac{5}{2} =2.5 \\ \\y=6( 2.5)^x$