A salespersons monthly income depends on the amount of her sales. Her monthly income of salary of $1300 plus 14% of her monthly sales. Write a linear equation for her monthly income for sales of x dollars (I=mx+b)
Income = .14x + 1300
To write a linear equation for the salesperson's monthly income, we need to determine the values of m and b in the equation I = mx + b.
Given that her monthly income consists of a salary of $1300 plus 14% of her monthly sales, we can conclude that:
- The slope, m, represents the percentage earned from the monthly sales. In this case, it is 14%, which can be written as 0.14.
- The y-intercept, b, represents her base monthly income, which is $1300.
Therefore, the linear equation for her monthly income, I, in terms of her monthly sales, x, is:
I = 0.14x + 1300
To write a linear equation for the salesperson's monthly income, we need to identify the variables involved and the relationship between them.
In this case, the variables are the monthly sales (x) and the monthly income (I). According to the given information, the salesperson's monthly income includes a salary of $1300 plus 14% of her monthly sales.
To represent this relationship in the form of a linear equation, we can use the formula:
I = mx + b
where:
I = Monthly income
m = Slope (coefficient of x)
x = Monthly sales
b = y-intercept (constant term)
In this case, the slope (m) represents the 14% of monthly sales, and the y-intercept (b) represents the $1300 salary.
Therefore, the linear equation for the salesperson's monthly income can be written as:
I = 0.14x + 1300