A salesman receives a salary of $400 per week plus a commission of 5% of sales. Write a linear model for the weekly income y in terms of sales x.
Y=400+.05*x
To write the linear model for the weekly income, we need to consider the fixed salary and the commission based on sales.
Let's assign the following variables:
- y: Weekly income (in dollars)
- x: Sales (in dollars)
The fixed salary is $400 per week, which means it does not change based on sales. Therefore, this will be the y-intercept of the linear equation.
The commission is 5% of sales. To calculate the commission, we multiply the sales by 0.05.
So, the linear model for the weekly income can be written as:
y = 0.05x + 400
To write a linear model for the weekly income y in terms of sales x, we need to consider the fixed salary component and the commission component.
The fixed salary component is given as $400 per week, which remains constant regardless of the sales made.
The commission component is calculated as 5% of the sales x. This means that the commission component will vary based on the sales made.
Therefore, the linear model for the weekly income y in terms of sales x can be written as:
y = 400 + 0.05x,
where:
y represents the weekly income,
x represents the sales made.
In this model, the fixed salary of $400 is added to the commission component, which is calculated by multiplying the sales x by 0.05 (or 5%).