Understanding Proportions and Unit Rates in Cost Calculation

The video tutorial explains how to calculate the cost of 123 training sessions at a gym, given that 40 sessions cost $1,717. It demonstrates two methods: using proportions and unit rates. The proportion method involves setting up a ratio and solving for the unknown cost by cross-multiplying. The unit rate method calculates the cost per session and multiplies by 123. Both methods yield the same result, emphasizing the importance of not rounding intermediate values to avoid errors.

What is the initial problem that needs to be solved in the video?

• Estimating the cost of a single training session.

• Determining the total cost of a gym membership.

• Calculating the cost of 123 training sessions.

• Finding the cost of 40 training sessions.

How is the proportion set up to solve for the unknown cost?

• By comparing the cost per session to the total cost.

• By comparing the number of sessions to the total cost.

• By comparing the total cost to the number of sessions.

• By comparing the number of sessions to the cost per session.

What mathematical operation is used to solve for the unknown cost in the proportion method?

• Addition

• Subtraction

• Cross-multiplication

• Division

What is the final cost of 123 training sessions using the proportion method?

• $1717.00

• $40.00

• $5279.78

• $21191.00

What is the first step in solving the problem using unit rates?

• Add the cost of each session together.

• Subtract the cost of one session from the total cost.

• Divide the total cost by the number of sessions.

• Multiply the total cost by the number of sessions.

What is the cost per training session when using the unit rate method?

• $40.00

• $42.93

• $1717.00

• $123.00

Why is it important not to round intermediate values in the unit rate method?

• It increases the total cost.

• It makes the calculation faster.

• It reduces the risk of errors.

• It simplifies the calculation.

What is the final step in calculating the total cost using the unit rate method?

• Multiply the cost per session by the number of sessions.

• Subtract the cost of one session.

• Divide the total cost by the number of sessions.

• Add the cost of each session.

What is the total cost for 123 training sessions using the unit rate method?

• $5279.78

• $21191.00

• $1717.00

• $40.00

What is the main advantage of using the unit rate method?

• It provides a more accurate result.

• It is faster than the proportion method.

• It requires fewer calculations.

• It is easier to understand.