Question

A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board

Answer 1

The question is an illustrates the use of unit rates

One foot of the board would weigh $1\frac{3}5 lb$

The parameter is given as:

$4\frac 12 ft = 7\frac 15 lb$ ---- the weight of the board

To calculate the weight of one foot of the board, we simply divide both sides of the equation by $4\frac 12$

$1 ft = 7\frac 15 lb \div 4\frac 12$

Express the fraction as an improper fraction

$1 ft = \frac{36}5 lb \div \frac 92$

Express the division as multiplication

$1 ft = \frac{36}5 lb \times \frac 29$

Multiply the fractions

$1 ft = \frac{8}5 lb$

Express the fraction as a mixed number

$1 ft = 1\frac{3}5 lb$

Hence, the weight of one foot of the board is $1\frac{3}5 lb$

Read more about unit rates at:

brainly.com/question/18065083