Melinda has several children and frequently marvels at how different each child is from one another. Jacob, her oldest son, took his first steps at 17 months whereas Clyde, her youngest son, took his first steps at 10.5 months old. Compare the number of months it took Clyde to take his first steps to the number of months it took Jacob using absolute and relative change. Round your answer for relative change to the nearest hundredth of a percent.

Respuesta :

Answer:

Absolute change = 6.5

Relative change = 61.91%

Step-by-step explanation:

We are given the following in the question:

Number of months Jacob took for his first step = 17

Number of months Clyde took for his first step = 10.5

We have to compare the number of months it took Clyde to take his first steps to the number of months it took Jacob using absolute and relative change.

Absolute change:

  • It is simple difference of the second quantity and first quantity.

Absolute change

= Number of months Jacob took for his first step - Number of months Clyde took for his first step

[tex]= 17 - 10.5\\=6.5[/tex]

Relative change:

  • It is the percentage of absolute change to the first quantity.

Relative change =

[tex]\dfrac{\text{Absolute change}}{\text{ number of months it took Clyde to take his first steps}}\times 100\%\\\\=\dfrac{6.5}{10.5}\times 100\%\\\\=61.91\%[/tex]