Write an exponential function in the form y=ab^xy=ab x that goes through points (0,17) and (5,4131).

Answer 1

y=ab^x plug in the point (0,17) to solve for a

17 =ab^0 = a

a =17

y=17b^x plug in the point (8,4131) to solve for b

4131 = 17(b)^8

b^8 = 4131/17 = 243

b= about 1.987

y = 17(1.987)^x is the exponential function through the two given points

it's close to y=17(2)^x