Question

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.

Answer 1

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 2

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;  

$y=0.21(1700)+300$ = $657