Question

I need this question answered immediately!!! No need to show me what to do I just need the answer

Answer 1

The general exponential regression equation is

`y=ae^(bx)`

We get (0,847) and (1, 972) points from the table.

Substitute x=0 and y=847, we get

`847=ae^(b(0))`

`847=a`

Substitute a=847 in the general equation, we get

`y=847e^(bx)`

Substitute x=1 and y=972, we get

`972=847e^(b(1))`
`e^b=(972)/(847)=1.148`
`\text{ Substitute a=847 and }e^b=1.148\text{ in general equation, we get}`
`y=847(1.148)^x`

Hence the exponential regression equation is

`y=847(1.15)^x`

Substitute x=8 to find the number of bacteria after 8 hours.

`y=847(1.15)^8`
`y=2590.99`

Round off,

`y=2591`

The number of bacteria after 8 hours is 2591 bacterias.