Chapter 1.1, Problem 56E

To determine

To write the variable expression for number of single aglets the factory uses each day.

Answer to Problem 56E

The variable expression for number of single aglets the factory uses each day is obtained as:

  $4\cdot p\cdot h$

Thenumber of single aglets the factory uses each day when $p=200\text{ and }h=24$ is obtained as:

  $4\cdot 200\cdot 24=19200$

Explanation of Solution

Given information:

Aglet is the plastic tips which is attached on the ends of a shoelace.

Number of pairs of shoes produces each hour is $p$ .

Number of hours of operation, the factory operates each day is $h$ .

Calculation:

In one shoe, number of aglet use is 2.

Number of aglets use in one pair of shoes is $2\cdot 2=4$ .

Total number of pairs of shoes produce in one day is $p\cdot h$ .

Hence,

The variable expression for number of single aglets the factory uses each day is obtained as:

  $4\cdot p\cdot h$

Now, if $p=200\text{ and }h=24$ , then the number of single aglets the factory uses each day is obtained as:

  $4\cdot 200\cdot 24=19200$

Hence,

The variable expression for number of single aglets the factory uses is the product of number of aglet used in one show, number of pair of shoe produce in one hour and total number of hours the factory operates.