Answer:
a. [tex]115+1,565x=240.20[/tex]
b. [tex]8\%[/tex]
Step-by-step explanation:
a. According to the information given in the exercise, you know that the sale person's daily earnings is the sum of $115 plus a commission of his daily sales.
Therefore, if his daily sales are $1,565, then his comission is given by:
[tex]1,565x[/tex]
Knowing that his total earnings for that day are $240.20, you can write the following equation which can be used to find "x":
[tex]115+1,565x=240.20[/tex]
b. In order to find the commision percent (in decimal form) of the sale person's daily sales, you must solve for "x":
[tex]115+1,565x=240.20\\\\1,565x=240.20-115\\\\x=\frac{125.2}{1,565}\\\\x=0.08[/tex]
Multiplying it by 100, you get it in percent form:
[tex]=0.08*100=8\%[/tex]