Understanding Cost Estimation and Equations

The video tutorial explains how to calculate the actual cost of buying t-shirts for a soccer team and compare it to a parent's estimate. The actual cost is determined by multiplying the number of t-shirts per player, the cost per t-shirt, and the number of players. The tutorial then guides viewers on writing equations to show how the estimate is five times the actual cost, using variables to represent these amounts. Various equivalent equations are presented to illustrate the relationship between the estimate and the actual cost.

How many t-shirts does each player receive?

• Three

• Two

• Four

• One

What is the cost of one t-shirt?

• $10

• $20

• $5

• $15

How many players are on the soccer team?

• 25

• 15

• 10

• 20

What is the total actual cost of the t-shirts?

• $200

• $600

• $800

• $400

What was the parent's estimated total cost?

• $2,000

• $1,500

• $1,000

• $2,500

What variable represents the estimated cost?

• c

• p

• e

• t

What is the relationship between the estimated and actual costs?

• Estimate is five times the actual cost

• Estimate is half the actual cost

• Estimate is twice the actual cost

• Estimate is three times the actual cost

Which equation correctly represents the relationship between e and c?

• e = c/5

• e = c - 5

• e = c + 5

• e = 5c

Which of the following is an equivalent equation to e = 5c?

• 5c = e

• e = c/5

• c = e/5

• c = 5e

What does the equation e = 5c imply about the estimate?

• Estimate is equal to actual cost

• Estimate is ten times the actual cost

• Estimate is less than actual cost

• Estimate is five times the actual cost