Question

The amount of algae in a fish tank doubles every day. Initially, the tank has 20 grams of algae in it so that the function Y=20(2^x) models the amount of algae in the bowl after x days. Which graph represents this function

Answer 1

The graph in the attached figure

Explanation:

we have

`y=20(2)^(x)`

This is a exponential function of the form

`y=a(b)^(x)`

where

a is the initial value

b is the base

In this problem

a=20 g

b=2

Remember that

b=1+r

so

1+r=2

r=2-1=1

r=100% (the amount of algae in a fish tank doubles every day)

using a graphing tool

The graph in the attached figure