3.7_bzca5e - Section 3.7 Modeling Using Variation Direct...

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Section 3.7 Modeling Using Variation
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Direct Variation
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Example The volume of a sphere varies directly as the cube of the radius. If the volume of a sphere is 523.6 cubic inches when the radius is 5 inches, what is the radius when the volume is 33.5 cubic inches. r
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Inverse Variation
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Example The pressure, P, of a gas in a spray container varies inversely as the volume, V, of the container. If the pressure is 6 pounds per square inch when the volume is 4 cubic inches, what is the volume when the pressure is down to 3 pounds per square inch?
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Combined Variation
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We can combine two variation equations: Which says that the monthly sales, S, varies directly as the advertising budget A. and Which says that the monthly sales, S, vary inversely as the price of S kA k S P = = the product, P. To get
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Example The TIXY calculator leasing company has determined that leases L, vary directly as its advertising budget and inversely as the price/month of the calculator rentals. When the TIXY company spent $500 on
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3.7_bzca5e - Section 3.7 Modeling Using Variation Direct...

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