Calculating Patio Costs and Areas

The video tutorial explains how to estimate the cost of installing a larger brick patio based on the cost of a smaller one. It assumes the cost is proportional to the area. The tutorial demonstrates two methods: using proportions and calculating cost per square foot. The first method involves setting up a proportion and solving for the unknown cost using cross multiplication. The second method calculates the cost per square foot of the smaller patio and multiplies it by the area of the larger patio. Both methods yield the same result, emphasizing the importance of rounding to the nearest dollar.

What assumption is made about the cost of the patio in relation to its area?

• The cost is unrelated to the area.

• The cost is fixed regardless of area.

• The cost decreases as the area increases.

• The cost is proportional to the area.

Tags

CCSS.6.G.A.1

What is the area of the smaller patio?

• 500 square feet

• 400 square feet

• 600 square feet

• 300 square feet

Tags

CCSS.6.G.A.1

What is the area of the larger patio?

• 400 square feet

• 525 square feet

• 600 square feet

• 700 square feet

Tags

CCSS.HSA.CED.A.3

What is the equation used to solve for the cost of the larger patio?

• 300c = 2275 - 525

• 300c = 2275 + 525

• 300c = 2275 / 525

• 300c = 2275 * 525

Tags

CCSS.4.NBT.B.5

What is the estimated cost of the larger patio after rounding?

• $4,000

• $3,981

• $3,900

• $4,100

What is the importance of rounding in this problem?

• To reduce the cost.

• To comply with the problem's instructions.

• To make calculations easier.

• To make the cost appear higher.

Tags

CCSS.7.RP.A.3

What is the final step in solving the proportion for the larger patio's cost?

• Subtracting 300 from the result.

• Adding 300 to the result.

• Multiplying the product by 300.

• Dividing the product by 300.

Tags

CCSS.6.G.A.4

What is the cost per square foot of the smaller patio?

• $7.55

• $7.58

• $7.50

• $7.60

Tags

CCSS.6.G.A.4

How can the cost of the larger patio be calculated using the cost per square foot?

• Multiply the cost per square foot by 300.

• Add the cost per square foot to 525.

• Multiply the cost per square foot by 525.

• Divide the cost per square foot by 525.

What is the alternative method to solve the problem?

• Calculating the cost per square foot and multiplying by the larger area.

• Using a fixed cost for all patios.

• Ignoring the area and using a fixed rate.

• Using a different proportion.