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The table shows the proportional relationship between a​ hedgehog's weight loss and the number of days of hibernation. How much weight does the hedgehog lose during 115 days of​ hibernation? Use pencil and paper. Explain how you know that the relationship between the​ hedgehog's weight loss and the number of days of hibernation is proportional.
Weight Loss of Hedgehog
Days of Hibernation
Loss in Weight​ (oz)
8
0.24
28
0.84
75
2.25
93
2.79
.
.
.
.
.
The hedgehog loses
enter your response here ounces.
​(Type an integer or a​ decimal.)

Sagot :

Using proportions, it is found that the hedgehog loses 3.45 ounces after 115 days of hibernation.

A proportional relationship is modeled by:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the ratio between the weighs loss after x days in hibernation is given by:

[tex]k = \frac{0.24}{8} = \frac{0.84}{28} = \frac{2.25}{75} = \frac{2.79}{93} = 0.03[/tex]

Since this ratio is constant, the relationship is proportional, modeled by:

[tex]y = 0.03x[/tex]

The weight lost after 115 days of hibernation is y(115), hence:

[tex]y = 0.03(115) = 3.45[/tex]

The hedgehog loses 3.45 ounces after 115 days of hibernation.

A similar problem is given at https://brainly.com/question/24372153

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