For a minimum wage job, the total pay ($) received for x hours worked is given by P(x) = 15.74x, for A. 0 ≤ x ≤ 80 hours worked in a 2-week pay period. Identify the slope of this linear function, P(x) = 15.74x, and include units with the slope value. Hint: Units of slope = rise run = y-units x-units B. Use derivative shortcuts to find an equation for P'(x) and explain what this means about the minimum wage job (including units).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. For a minimum wage job, the total pay ($) received for x
hours worked is given by P(x) = 15.74x, for
A.
0 ≤ x ≤ 80 hours worked in a 2-week pay period.
Identify the slope of this linear function,
P(x) = = 15.74x, and include units with the slope
value.
Hint: Units of slope =
=
rise
run
=
y-units
x-units
B. Use derivative shortcuts to find an equation for
P'(x) and explain what this means about the
minimum wage job (including units).
Transcribed Image Text:2. For a minimum wage job, the total pay ($) received for x hours worked is given by P(x) = 15.74x, for A. 0 ≤ x ≤ 80 hours worked in a 2-week pay period. Identify the slope of this linear function, P(x) = = 15.74x, and include units with the slope value. Hint: Units of slope = = rise run = y-units x-units B. Use derivative shortcuts to find an equation for P'(x) and explain what this means about the minimum wage job (including units).
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