A car salesperson's annual income depends on the amount of his sales. His annual income is a salary of $11500 plus 12% of his annual sales. Write a linear equation for his annual income for sales of x dollars. ( I = mx + b ).
11500=I
i Don't know what is mx+b is.
11500=12x+b
Income=.12*Sales + 11500
m is the slope, in this case .12, x is the amount of sales in dollars
In the equation I = mx + b, "I" represents the annual income, "x" represents the annual sales, "m" represents the commission rate (in this case, 12%), and "b" represents the fixed salary of $11500.
So, the linear equation for the car salesperson's annual income is:
I = 0.12x + 11500.
In this equation, 0.12x represents 12% of the annual sales, which is added to the fixed salary of $11500 to determine the total annual income.
To write the linear equation, we need to break it down into its components:
I: annual income
m: sales commission rate (12% or 0.12)
x: annual sales
b: base salary ($11,500)
To format the equation in the form I = mx + b, we'll substitute the respective values:
I = 0.12x + 11500
This equation represents the car salesperson's annual income based on their annual sales. The income is calculated by taking 12% of the sales (0.12x) and adding it to the base salary of $11,500 (b).