Question

If the number of bacteria on the surface of your phone triples every hour and can be described with the exponential function f(x)=1,000⋅3x, complete the blank in the table of values to show how much bacteria is on your phone after 4 hours.

x f(x)
1 3,000
2 9,000
3 27,000
4 _[blank]_

Answer 1

The number of bacteria on your phone after 4 hours is 81,000.

Step-by-step explanation:

To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.

Calculating this, we get f(4) = 1,000 * 81 = 81,000.

Answer 2

81,000

Step-by-step explanation:

1 1,000x3= 3,000

2 3,000x3= 9,000

3 9,000x3= 27,000

4 27,000x3= 81,000