A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by s=50,000−30,000e−0.00025x. The current weekly advertising costs are $4,000, and these costs are increasing at a rate of $400 per week. Find the current rate of change of sales. The current rate of change of sales is $blank per week.
A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by s=50,000−30,000e−0.00025x. The current weekly advertising costs are $4,000, and these costs are increasing at a rate of $400 per week. Find the current rate of change of sales. The current rate of change of sales is $blank per week.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by
s=50,000−30,000e−0.00025x.
The current weekly advertising costs are
$4,000,
and these costs are increasing at a rate of
$400
per week. Find the current rate of change of sales.The current rate of change of sales is
$blank
per week.Expert Solution
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