Question

write the equation for an exponential function, in the form y=a*b^x, whose graph passes through the cord points (1,7.5) and (3, 16.875)

Answer 1

use the given two points to find a and b
when x=1, y=7.5, so a*b=7.5
when x=3, y=16.875, so a*b³=16.875
divide ab³ by ab to eliminate a: b²=16.875/7.5=2.25, b=1.5
a=7.5/1.5=5