A certain man works in sales and earns a base salary of $1000 per month plus 5% 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, a 1 dollar increase in S. x dollar increase for 1000 (b) How much does he earn if he sells $1400 in merchandise in a month? (Round your answer to the nearest cent.) $ 1400.05 (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 $1400 this month? (Round your answer to the nearest cent.) $

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8
A certain man works in sales and earns a base salary of $1000 per month plus
5% 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,
x dollar increase
for
1000
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.)
$ 1400.05
(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 $1400 this
month? (Round your answer to the nearest cent.)
$
Transcribed Image Text:A certain man works in sales and earns a base salary of $1000 per month plus 5% 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, x dollar increase for 1000 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.) $ 1400.05 (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 $1400 this month? (Round your answer to the nearest cent.) $
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