Problema Solution
1. You are offered two different jobs selling dental supplies. One has an annual salary of $20,000 plus an end of year bonus of 1% of your total sales. The other has a salary of $15,000 and a year -end bonus of 2% of your sales. How much would you have to sell to have the jobs pay the exact same amount?
a. Equations: x represents:
y represents:
pay job 1 y =
pay job 2 y =
b. Solve the system:
c. Solution: If you would sell $_______________________ of equipment, both jobs would pay you $_____________________.
d. Analysis: If you were to sell $300,000 worth of equipment, which job would pay better? _______________. If you were to sell $700,000 worth of equipment, which job would pay better?___________________. If you sell $__________________ or more Job 2 would pay better.
Answer provided by our tutors
a. pay job 1: y = 20000 + .01x
pay job 2: y = 15000 + .02x
b. 20000 + .01x = 15000 + .02x
5000 + .01x = .02x
5000 = .01x
500000
c. 20000 + .01(500000) = 25000
15000 + .02(500000) = 25000
if you would sell $500,000 of equipment then both jobs would pay you $25,000
d. $300,000
20000 + .01(300000) = 23000
15000 + .02(300000) = 21000
job 1 pays better
$700,000
20000 + .01(700000) = 27000
15000 + .02(700000) = 29000
job 2 pays better
20000 + .01x < 15000 + .02x
5000 + .01x < .02x
5000 < .01x
500000 < x
if you were to sell $500,000 or more job 2 would pay better