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PLEASE HELP ME
David and Ronald both are making cubic gift boxes with varying volume. The side length of David's gift box for a given volume is given by the function below, where (x - 1) is the volume of the box, in cubic feet.


The side length, g(x), of Ronald's gift box for a given volume is shown in the table below, where x is the volume of the box, in cubic feet.


Whose gift box has the greater side length for a given volume?

PLEASE HELP ME David and Ronald both are making cubic gift boxes with varying volume The side length of Davids gift box for a given volume is given by the funct class=

Respuesta :

calculista

Answer:

Option C Both gift boxes have the same length for a given volume

Step-by-step explanation:

step 1

David's gift box

Calculate the side length of the box for a given volume

we have

[tex]f(x)=\sqrt[3]{x-1}[/tex]

For [tex](x-1)=2\ ft^{3}[/tex] ------> [tex]f(x)=\sqrt[3]{2}=1.26\ ft[/tex]

For [tex](x-1)=4\ ft^{3}[/tex] ------> [tex]f(x)=\sqrt[3]{4}=1.59\ ft[/tex]

For [tex](x-1)=6\ ft^{3}[/tex] ------> [tex]f(x)=\sqrt[3]{6}=1.82\ ft[/tex]

For [tex](x-1)=10\ ft^{3}[/tex] ------> [tex]f(x)=\sqrt[3]{10}=2.15\ ft[/tex]

therefore

Both gift boxes have the same length for a given volume

Answer:

The answer would be Ronald. Also this is for plato too.

Step-by-step explanation:

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