Question

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 120 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.

Answer 1

Using the principle of proportional relationship, the amount of weight lost by hedgedog in 120 days is 3.6 oz

Proportional relationships are defined thus :

• y = kx
• k = constant of proportionality

Taking a piar of points :

-0.24 = 8k

Divide both sides by 8

(-0.24/8) = k

k = - 0.03

Hence, hedgedog loses weight at a rate of - 0.03 oz per day.

The amount of weight lost in 120 days :

The proportional relationship = y = - 0.03x

Substitute x into the equation

y = -0.03(120)

y = - 3.6 oz

Therefore, the amount of weight lost in 120 days is 3.6 oz.

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