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The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 90 cubic of feet of fertilizer are applied, the yield will be 990 pounds of strawberries. Use linear interpolation to estimate the yield if 72 cubic feet of fertilizer are applied.

______________(and select unit of meansure)---> (cubic feet/ pounds per cubic foot/ pounds/cubic feet per pound

Sagot :

boffeemadrid

Answer:

[tex]792\ \text{pounds}[/tex]

Step-by-step explanation:

[tex]x_1=70[/tex] cubic feet of fertilizer is used in [tex]y_1=770[/tex] pounds of strawberries

[tex]x_2=90[/tex] cubic feet of fertilizer is used in [tex]y_2=990[/tex] pounds of strawberries

[tex]x=72[/tex] cubic feet of fertilizer is used

Linear interpolation is applied

[tex]y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}[/tex]

72 cubic feet of fertilizer will yield [tex]792\ \text{pounds}[/tex] of strawberries.

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