Concept explainers
a.
To write: a linear equation for your current monthly wage
a.
Answer to Problem 1PS
Wage of salesperson is
Explanation of Solution
Given Information:
As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at $2300 per month, plus a commission of 5% of sales.
Calculation:
Monthly salary = $2000 plus a commission of 7% of sales.
Total Wage is sum of monthly salary and commission.
b.
To write: a linear equation for the monthly wage
b.
Answer to Problem 1PS
Wage of salesperson from new job
Explanation of Solution
Given Information:
As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at $2300 per month, plus a commission of 5% of sales. Write
Calculation:
Monthly salary for new job = $2300 plus a commission of 5% of sales.
Total Wage is sum of monthly salary and commission.
c.
To graph: both equations in the same viewing window and then find the point of intersection also what does the point of intersection represent?
c.
Answer to Problem 1PS
The point of intersection is
Explanation of Solution
Given iformation:
As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at $2300 per month, plus a commission of 5% of sales. Use a graphical utility to graph Using a graphical utility the graph formed will be
Graph:
Plotting
Plot the points and join them
The point of intersection is
d.
To Find: whether to change job or not when expected sale is $20,000 per month.
d.
Answer to Problem 1PS
Explanation of Solution
Given Information:
As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at $2300 per month, plus a commission of 5% of sales
Calculation:
Expected sale is of $20,000 per month.
From part (a), we have
From part (b), we have
Now, putting
Here
That implies no need to change the job; you get more money from your current job.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning