In 2004 median earnings including commissions, for car salespersons was $18.61 per hour or $744.40 per week. Dan received $400 per week for selling new and used cars. In addition, he receives 5% of the profit on any sales he generates.
(a) write an equation that relates Dan's weekly salary S when he has sales that generate a profit of dollar x
(b) If Dan has sales that generates of profit of $4000, what are his weekly earnings?
(c)to equal the median earnings of a car salesperson, Dan would have to have sales that generate a profit of how many dollars?
help me pretty please!!!!tyy!
"Dan received $400 per week for selling new and used cars. In addition, he receives 5% of the profit on any sales he generates. "
a) S = .05(x) + 400 , where x is the amount of sales
b) sub in x = 4000
c) solve 744.40 = .05x + 400
thank youu so much!!
(a) To write an equation that relates Dan's weekly salary (S) to the profit generated (x), we need to consider two components: his base salary and the commission he receives based on the profit.
Dan's base salary is given as $400 per week.
The commission he receives is 5% of the profit generated by his sales.
So, the commission amount can be calculated as 0.05 * x.
To calculate his total weekly salary, we can add the base salary and the commission amount:
S = $400 + 0.05 * x.
(b) To find Dan's weekly earnings when he has sales that generate a profit of $4000, we can substitute x = $4000 into the equation we derived in part (a):
S = $400 + 0.05 * $4000.
Simplifying the equation, we get:
S = $400 + $200.
S = $600.
Therefore, Dan's weekly earnings would be $600.
(c) To determine the profit generated by his sales that would equal the median earnings of a car salesperson, we can rearrange the equation from part (a) and solve for x.
S = $400 + 0.05 * x.
Since the median earnings for car salespersons in 2004 were $744.40 per week, we can substitute S = $744.40 into the equation and solve for x:
$744.40 = $400 + 0.05 * x.
By rearranging and solving this equation, we find:
0.05 * x = $344.40.
x = $344.40 / 0.05.
Therefore, to equal the median earnings of a car salesperson, Dan would have to have sales that generate a profit of $6,888.