Question

Write an exponential function in the form y=ab^xy=ab x that goes through points (0,10) and (3,80).

Answer 1

Answer: y= 10.
`\sqrt[10]{2}` ^x

Step-by-step explanation:

y=ab^x ... plug in (0,10)

10=ab^0

10=a.1

a=10

y=10b^x ... plug in (30,80)

80=10b^30

b^30=80/10

b^30=8

b= +-
`\sqrt[10]{2}`

y= 10.
`\sqrt[10]{2}` ^x