A rabbit's fur grows at the rate of 5/2 inches per month. How many months will it take the rabbit's fur to grow 15/4 inches? Explain your answer using expressions and words. (10 points)

Respuesta :

I put it into a common denominator.

5/2 -> 10/4 inches

One month: 10/4 inches

Two months: 20/4 inches

If the rate of growth was constant, it took 1.5 months to grow 15/4 inches.

The number of months that take the rabbit's fur to grow [tex]15 \div 4[/tex] inches is 1.5 months.

Given that,

  • The rate is [tex]5 \div 2[/tex] inches per month.
  • The growth should be [tex]15 \div 4[/tex] inches.
  • We need to find out the number of months.

Based on the above information, the calculation is as follows:

Since  [tex]5 \div 2[/tex] could be [tex]10 \div 4[/tex] inches

I.e. for one month it is  [tex]10 \div 4[/tex] inches.

For two month, it is [tex]20 \div 4[/tex] inches

Now if the rate of the growth should be the same, so it will take 1.5 months.

Therefore we can conclude that the number of months that take the rabbit's fur to grow [tex]15 \div 4[/tex].

Learn more: brainly.com/question/15133607

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