Question

Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week. Week Mass (grams) (start) 80

Answer 1

Week Mass (gram)

(start) 80

1 88

2 96.8

3 106.48

4 117.128

Explanation:

From the question we are told that

The mass of the kitten at the start week is m = 80 g

The rate at which the kitten grows is r = 0.10

Generally the mass of the kitten at the first week is mathematically represented as

`m_1 = ( r *  m)  + m`

=>
`m_1 = ( 0.10 *  80 )  + 80`

=>
`m_1 = 88 \ g`

Generally the mass of the kitten at the second week is mathematically represented as

`m_2 = ( r *  m_1)  + m_1`

=>
`m_2 = ( 0.10 *  88 )  + 88`

=>
`m_2 = 96.8 \ g`

Generally the mass of the kitten at the third week is mathematically represented as

`m_3 = ( r *  m_2)  + m_2`

=>
`m_3 = ( 0.10 *  96.8)  + 96.8`

=>
`m_3 = 106.48  \ g`

Generally the mass of the kitten at the fourth week is mathematically represented as

`m_4 = ( r *  m_3)  + m_2`

=>
`m_4 = ( 0.10 *  106.48)  + 106.48`

=>
`m_4 = 117.128  \ g`

Week Mass (gram)

(start) 80

1 88

2 96.8

3 106.48

4 117.128