Questions: At a movie rental machine, the movies rent for 3.00, except on Tuesdays, when they rent for 0.49. Approximately what percent of the regular cost is saved by renting a movie on a Tuesday? A. 94% B. 84% C. 60% D. 40% E. 16%

At a movie rental machine, the movies rent for 3.00, except on Tuesdays, when they rent for 0.49. Approximately what percent of the regular cost is saved by renting a movie on a Tuesday?
A. 94%
B. 84%
C. 60%
D. 40%
E. 16%
Transcript text: At a movie rental machine, the movies rent for $\$ 3.00$, except on Tuesdays, when they rent for $\$ 0.49$. Approximately what percent of the regular cost is saved by renting a movie on a Tuesday? A. $94 \%$ B. $84 \%$ C. $60 \%$ D. $40 \%$ E. $16 \%$
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Solution

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Solution Steps

To determine the percentage of the regular cost saved by renting a movie on a Tuesday, we need to calculate the difference between the regular cost and the Tuesday cost, then divide that difference by the regular cost and multiply by 100 to get the percentage.

Step 1: Calculate the Savings

The regular cost of renting a movie is \( \$3.00 \) and the cost on Tuesday is \( \$0.49 \). The savings can be calculated as follows:

\[ \text{savings} = \text{regular cost} - \text{tuesday cost} = 3.00 - 0.49 = 2.51 \]

Step 2: Calculate the Percentage Savings

To find the percentage of the regular cost that is saved, we use the formula:

\[ \text{percentage savings} = \left( \frac{\text{savings}}{\text{regular cost}} \right) \times 100 \]

Substituting the values we have:

\[ \text{percentage savings} = \left( \frac{2.51}{3.00} \right) \times 100 \approx 83.67\% \]

Final Answer

The percentage of the regular cost saved by renting a movie on a Tuesday is approximately \( \boxed{83.67\%} \).

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