Question

Question: As a salesperson at Snow Sports, Micheal receives a monthly base pay plus commission on all that he sells. If he sells $600 worth of merchandise in one month , he is paid $344. If he sells $1000 worth of merchandise, he is paid $440. Find Michael's salary when he sells $2,200 worth of merchandise.

Answer 1

thats an interesting question actually

Answer 2

let x= commission (%)
y=salary
then:
600x+y=344
1000x+y=440
solve system & find the commission (x as %) & salary (y)

Answer 3

also u have multiple accounts, this question was asked last night :|

Answer 4

subtract first equation from second you get:
400x=96
x=0.24 (24%)
then y=200 (salary)

Answer 5

oops 1*1000s+2*600s*

Answer 6

ok maybe here. you want the equation for the line between (600,344) and (1000,440)
the slope of this line is
\[\frac{440-344}{1000-600}=\frac{96}{400}=.24\] an and then use
\[y-344=.24(x-600)\]
\[y=.24x+200\] for the equation of the line. plug in 2200 for x to get your answer

Answer 7

i think this can be made simpler

Answer 8

then salary when he sales $2200:
2200*.24 +200=728
answer: $728

Answer 9

btw the line says you get .24 for every dollar in sales and 200 base salary. i get $728

Answer 10

i guess it cannot be made simpler

Answer 11

@ myininaya yes simpler but you still have to find the amount per sale which is basically the slope yes?

Answer 12

yes i guess

Answer 13

lol

Answer 14

and you still have to find the base salary aka y- intercept so there is no way around getting the equation for the line

Answer 15

you can find the y - intercept by doing something else, like plugging in a known value instead of using point - slope, but it make no difference in that you still need to get
\[y=mx+b\] in some way

Answer 16

Okay I think I get it now. Thanks guys :)