Question

The equation for 30 is h=3.846b+72.5, solve 31 and 32.

Answer 1

So the equation that relates the height h and the length of the radius bone b of a woman is:

`h=3.846b+72.5`

In exercise 31 we need to estimate the height of a woman with a 25cm long radius bone. This basically means taking b=25 and calculating h:

`\begin{gathered} h=3.846b+72.5 \\ h=3.846\cdot25+72.5 \\ h=96.15+72.5 \\ h=168.65 \end{gathered}`

So the height is 168.65cm but we need to round it ti the nearest centimeter so the answer for 31 is h=169cm.

In exercise 32 we have to transform this quantity into inches by using the relation:

For this purppose we can use the rule of three with this relation and h=169cm:

According to the rule of three x, which is the woman's height in inches, is given by:

Which means that the woman's height in inches is 66.54 but we need to round it to the nearest inch so the answer for 32 is h=67in.