Respuesta :
Answer:
Dave makes $350
Explanation:
In order to find this answer, we must first establish the equation for his earnings.
We use slope intercept form:
y = mx + b,
where m = slope and b = y-intercept.
Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation to get the following:
y = 0.1x + 200.
Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350.
Dave makes $350
Explanation:
In order to find this answer, we must first establish the equation for his earnings.
We use slope intercept form:
y = mx + b,
where m = slope and b = y-intercept.
Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation to get the following:
y = 0.1x + 200.
Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350.
Answer:
[tex]y=0.10x+200[/tex]
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: [tex]y=mx+b[/tex], 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.
[tex]\text{10\% of x}=\frac{10}{100}x=0.10x[/tex]
Upon substituting our given values in slope-intercept form of equation we will get,
[tex]y=0.10x+200[/tex]
Therefore, the equation [tex]y=0.10x+200[/tex] represents Dave's weekly earnings.
To find Dave's salary we need to substitute [tex]x=1500[/tex] in our given equation.
[tex]y=0.10\cdot 1500+200[/tex]
[tex]y=150+200[/tex]
[tex]y=350[/tex]
Therefore, Dave's weekly salary for the week is $350 and option 'b' is the correct choice.
