Chapter 1.5, Problem 24E

(a).

To determine

To find: The equation of $n$ which is the length

Answer to Problem 24E

The value for the equation of the $n$ is $n=\frac{d+2}{4}$

Explanation of Solution

Given Information:

The penny size $d$ is given by the equation $d=4n-2$

Calculation:

  $\begin{array}{l}d=4n-2\\ n=\frac{d+2}{4}\end{array}$

The value for the equation of the $n$ is $n=\frac{d+2}{4}$

(b).

To determine

To Find: The length of nails with penny sizes $3,6and10$ respectively.

Answer to Problem 24E

The length of the nails with penny size $3,6and10$ are $1.25,2and3inches$ respectively.

Explanation of Solution

Given Information:

The penny size $d$ is given by the equation $d=4n-2$

Calculation:

For penny size $d=3$

  $\begin{array}{l}n=\frac{3+2}{4}\\ n=\frac{5}{4}\\ =1.25\end{array}$

For penny size $d=6$

  $\begin{array}{l}n=\frac{6+2}{4}\\ n=\frac{8}{4}\\ n=2\end{array}$

For penny size $d=10$

  $\begin{array}{l}n=\frac{10+2}{4}\\ n=\frac{12}{4}\\ n=3\end{array}$

The length of nails with penny size $3,6and10$ are $1.25,2and3inches$ respectively.