Sharon makes headbands and sells them online. She is analyzing the sales of two of her most popular styles, For style A, she sold 40 in the first month and had a 10% increase in sales each month after that. For style B, she sold 20 in the first month and had a 15% increase in sales each month after that.
Which system of equations can she use to determine the number of months, m, until the sales, s, are the same for both headband styles?

A. s = 40(0.10)^m, s = 20(0.15)^m
B. s = 1.1(40)^m, s = 1.15 (20)^m
C. s = 40(1.1)^m, s = 20(1.15)^m
D. s = 10(40)^m, s = 15(20)^m

The system of equations that can be used to determine the number of months, m, until the sales, s, is the same for both headband styles is s = 40(1.1)^m and s = 20(1.15)^m.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

For style A, Sharon sold 40 in the first month and had a 10% increase in sales each month after that. Therefore, the exponential equation for the number of sales can be written as,

Number of sales = [tex]40 (1 + 10\%)^m[/tex]

[tex]= 40(1.10)^m[/tex]

For style B, Sharon sold 20 in the first month and had a 15% increase in sales each month after that. Therefore, the exponential equation for the number of sales can be written as,

Number of sales = [tex]20 (1 + 15\%)^m[/tex]

[tex]=20 (1.15)^m[/tex]

Hence, the system of equations that can be used to determine the number of months, m, until the sales, s, is the same for both headband styles is s = 40(1.1)^m and s = 20(1.15)^m.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ5