If government uses fiscal policy to restrain cost-push inflation, we can expect
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from table</em>
Point (0, 3)
Point (1, 7)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>. Rate of change and slope are the same.
- Substitute [SF]:
- Subtract:
- Divide:
If <em>PV</em> = 800, then <em>P</em> can be written as a function of <em>V</em>,
<em>P(V)</em> = 800 / <em>V</em>
(a) The average rate of change of <em>P</em> as <em>V</em> increases from 200 to 250 in³ is then
(<em>P</em> (250) - <em>P</em> (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)
... = -0.016 (lb/in²)/in³
(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)
(b) We can also write <em>V</em> as a function of <em>P</em> :
<em>V(P)</em> = 800 / <em>P</em>
Take the derivative:
<em>V'(P)</em> = - 800 / <em>P</em>²
which immediately demonstrates that <em>V'(P)</em> ∝ 1 / <em>P</em>², as required. (The fish-looking symbol, ∝, means "is proportional to".)
If differentiating is supposed to be more involved, you can use the limit definition: