Asalesperson 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.

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.

r=  or in percent it is 21%.

Now substituting the values in the form of mx+b

We get b = 300  

We can derive the salary equation as:

When she sells $1,700 worth of merchandise, substituting 1700 for x and solving for y, we get;  

= $657

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: