Question

3e) An infant grew 3/4 inch in the first month, 1/2 inch in the second month,7/8 inch in the third month. First, find the totalinches the infant grew over the three months. Then find the difference in the infant's growth from the second month to thethird month

Answer 1

First, find the total growth over the three months.

The total growth (G) is the sum of the growths in each month:

`\begin{gathered} G=(3)/(4)+(1)/(2)+(7)/(8) \\ \end{gathered}`

Using 8 as a common denominator:

`\begin{gathered} G=(2*3+4*1+1*7)/(8) \\ G=(6+4+7)/(8) \\ G=(17)/(8) \end{gathered}`

The total growth is 17/8.

Second, find the difference between the second and the third month (S).

To find it, subtract the growth of the second month from the growth of the third month.

`S=(7)/(8)-(1)/(2)`

Using 8 as a common denominator:

`\begin{gathered} S=(1*7-4*1)/(8) \\ S=(7-4)/(8) \\ S=(3)/(8) \end{gathered}`

The difference between the second and third months is 3/8.

Answer:

(a) The total growth is 17/8.

(b) The difference between the second and third months is 3/8.