Question

How do you find the exponential function formula for the points (32,6) and (48,14)?

Answer 1

`y = 1.10204*e^{0.0529561*x}`

Explanation:

The exponential function formula has the structure given by
`y = c*e^{a*x}` with `c, a` real constants and `e` the natural logarithm basis. Now taking the values given
`6 = c*e^{a*32}`
`14=c*e^{a*48}`
and solving for `c, a` we get
`c = 1.10204, a = 0.0529561`