A certain man works in sales and earns a base salary of $1100 per month plus 6% of his total sales for the month. (a) Explain why his total monthly income I is a linear function of total sales S, both measured in dollars. The change in I is always the same, ]dollar increase \ , for a 1 dollar increase in S. (b) How much does he earn if he sells $1400 in merchandise in a month? (Round your answer to the nearest cent.) (c) Write a formula that gives total monthly income I as a linear function of sales S in a month. (Round equation parameters to two decimal places.) I = (d) What should his monthly total sales be if he wishes to earn $1350 this month? (Round your answer to the nearest cent.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 8CR: Working on a Commission A certain man works in sales and earns a base salary of 1000 per month plus...
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A certain man works in sales and earns a base salary of $1100 per month plus 6% of his total sales for the month.
(a) Explain why his total monthly income I is a linear function of total sales S, both measured in dollars.
The change in I is always the same,
dollar increase
for a 1 dollar increase in S.
(b) How much does he earn if he sells $1400 in merchandise in a month? (Round your answer to the nearest cent.)
$
(c) Write a formula that gives total monthly income I as a linear function of sales S in a month. (Round equation parameters to two decimal places.)
I =
(d) What should his monthly total sales be if he wishes to earn $1350 this month? (Round your answer to the nearest cent.)
$
Transcribed Image Text:A certain man works in sales and earns a base salary of $1100 per month plus 6% of his total sales for the month. (a) Explain why his total monthly income I is a linear function of total sales S, both measured in dollars. The change in I is always the same, dollar increase for a 1 dollar increase in S. (b) How much does he earn if he sells $1400 in merchandise in a month? (Round your answer to the nearest cent.) $ (c) Write a formula that gives total monthly income I as a linear function of sales S in a month. (Round equation parameters to two decimal places.) I = (d) What should his monthly total sales be if he wishes to earn $1350 this month? (Round your answer to the nearest cent.) $
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