Sid has a job at Morgan Motors. The salary is $1200 a month, plus 3% of the sales price of every car or truck Sid sells (this is
called a commission). (a) The total of the sales prices of all the vehicles Sid sold during the first month on the job was $72000. What was Sid's income (salary plus commission)? (b) In order to make $6000 in a single month, how much selling must Sid do? (c) Write a linear equation that expresses Sid's monthly income y in terms of the value x of the vehicles Sid sold. (d) Graph this equation. What is the meaning of its y-intercept, and the meaning of its slope?
Given: salary of 1,200 a month plus 3% of the sales price.
a) <span>The total of the sales prices of all the vehicles Sid sold during the first month on the job was $72000. What was Sid's income? </span>72,000 x 3% = 2,160 commission 1,200 + 2,160 = 3,360
b) <span>In order to make $6000 in a single month, how much selling must Sid do? </span>6,000 - 1,200 = 4,800 4,800 / 3% = 160,000 per month.
c) <span>Write a linear equation that expresses Sid's monthly income y in terms of the value x of the vehicles Sid sold
y = 1,200 + 3%x ; where x is the sales price of every vehicle sold.</span>
