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?
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calculista calculista · Answer 1 · 2019-05-07T04:29:42+02:00

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]