A salesperson at Roaring Wave Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If she sells $500 worth of merchandise in one month, she is paid $405. If she sells $900 of merchandise in one month, she is paid $489. Find Carissa's salary when she sells $1,700 worth of merchandise.
Aug 1, 2010 - If she sells $400 worth of merchandise in one mount, she is paid $388. If she sells$700 of merchandise in one month, she is paid $454." Find Carissa's salary ... "As a salespersonat Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on allthat she sells. If she sells $400 ...
Answer:
The answer is $657.
Step-by-step explanation:
Let Carissa's total salary be = y
Let the amount of items sold be = x
Let the commission rate be = r
Let her monthly base pay be = b
Now given is - If she sells $500 worth of merchandise in one month, she is paid $405. If she sells $900 of merchandise in one month, she is paid $489.
We get the following points as per situation.
(500, 405) and (900, 489)
Now we will find the slope or r.
\((489-405)/(900-500)\)
r= \(84/00 =0.21\) or in percent it is 21%.
Now substituting the values in the form of mx+b
\(405=(0.21)(500)+b\)
\(405=105+b\)
We get b = 300
We can derive the salary equation as:
\(y = 0.21x+300\)
When she sells $1,700 worth of merchandise, substituting 1700 for x and solving for y, we get;
@@MATH_TOKEN_5@@ = $657