Questions: A 4500 square foot roll of plastic wrap costs 23.95. If 120 square feet is needed for a party game, what is the monetary value of that 120 square foot piece of plastic wrap? Round to the nearest cent.

A 4500 square foot roll of plastic wrap costs 23.95. If 120 square feet is needed for a party game, what is the monetary value of that 120 square foot piece of plastic wrap? Round to the nearest cent.

Transcript text: A 4500 square foot roll of plastic wrap costs $\$ 23.95$. If 120 square feet is need for a party game, what is the monetary value of that 120 square foot piece of plastic wrap? Round to the nearest cent. Provide your answer below: \$

Solution

Solution Steps

To find the monetary value of a 120 square foot piece of plastic wrap, we can set up a proportion based on the cost of the entire roll. The proportion will compare the cost per square foot of the plastic wrap to the cost of the 120 square foot piece. We then solve for the unknown cost of the 120 square foot piece.

Step 1: Calculate Cost per Square Foot

To find the cost per square foot of the plastic wrap, we use the formula:

\[ \text{Cost per square foot} = \frac{\text{Total cost}}{\text{Total square feet}} = \frac{23.95}{4500} \approx 0.005322 \]

Step 2: Calculate Cost for 120 Square Feet

Next, we calculate the cost for the required 120 square feet using the cost per square foot:

\[ \text{Cost for 120 square feet} = \text{Cost per square foot} \times \text{Required square feet} = 0.005322 \times 120 \approx 0.63864 \]

Step 3: Round to the Nearest Cent

Finally, we round the calculated cost to the nearest cent:

\[ \text{Cost for 120 square feet} \approx 0.64 \]