Answer:
An Exponential growth function is given by:
....[1]
where
a is the initial amount and r is the growth rate and n is the number of time.
As per the given statement: You have been averaging 55 sales per day. Per our new policy everyone needs to increase his or her sales per day by 10% in the next month.
Initial sales per day(a)= 55 ,
Growth rate(r) = 10% = 0.1
and
n =30
Substitute these given values in [1] we get;
![y = 55(1+0.1)^(30)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4gtmzhevtaigtg31atv3shgdl84on9km7a.png)
or
![y = 55(1.1)^(30)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ys54xa5pl9g9l627waxawxedhgrzm6jl07.png)
Simplify:
![y = 959.717124789 \approx 960](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ilxn3jh507i24hfqziuoqnl113ewd3hqlk.png)
Therefore, you will need to be sales in next month up to 960 sale