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1. Your cereal company wants to make a family size box for your most popular brand. Your current, 17 ounce, box costs $1.50 to fill with cereal. Your new box will be 1.25 times as long, high, and wide. How much will it cost to fill the new family size box with cereal?
(Please Help! will give brainliest)

Respuesta :

calculista

Answer:

The cost to fill the new family size box will be [tex]\$2.93[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

we have

[tex]z=1.25[/tex]

so

[tex]z^{3}=1.25^{3}=1.953125[/tex]

To find the new cost multiply the original cost by the scale factor elevated to the cube

[tex]\$1.50(1.953125)=\$2.93[/tex]

The new volume would be

[tex]17(1.953125)=33.20\ ounces[/tex]

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