Answer:
![y=0.10x+200](https://tex.z-dn.net/?f=y%3D0.10x%2B200)
b. $350
Step-by-step explanation:
Let x represent the cost of goods sold by Dave.
We have been given that Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales.
We are asked to write an equation that represents Dave’s weekly earnings in slope-intercept form of equation, where, y-intercept is Dave’s base salary and the slope of the line is his commission.
We know that slope-intercept form of an equation is in format:
, where,
m = Slope of line,
b = The y-intercept.
As we have been given that y-intercept is Dave’s base salary, so this means that value of b is 200.
Now, we need to find the slope of our line.
The slope of line will be Dave's commission. This means that slope of line will be 10% of x.
![\text{10\% of x}=\frac{10}{100}x=0.10x](https://tex.z-dn.net/?f=%5Ctext%7B10%5C%25%20of%20x%7D%3D%5Cfrac%7B10%7D%7B100%7Dx%3D0.10x)
Upon substituting our given values in slope-intercept form of equation we will get,
![y=0.10x+200](https://tex.z-dn.net/?f=y%3D0.10x%2B200)
Therefore, the equation
represents Dave's weekly earnings.
To find Dave's salary we need to substitute
in our given equation.
![y=0.10\cdot 1500+200](https://tex.z-dn.net/?f=y%3D0.10%5Ccdot%201500%2B200)
![y=150+200](https://tex.z-dn.net/?f=y%3D150%2B200)
![y=350](https://tex.z-dn.net/?f=y%3D350)
Therefore, Dave's weekly salary for the week is $350 and option 'b' is the correct choice.