Question

Part A

Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, x?

A. x + 0.20x
B. x
C. 0.825x
D. 0.20x
E. x + 0.0825x

Part B
By what percent does the cost of the meal increase with tax and gratuity?

A. 12%
B. 20%
C. 28.25%
D. 8.25%

Answer 1

The director would use the equation x + 0.20x to determine the total cost of the meal. The cost of the meal increases by 20% with tax and gratuity.

Step-by-step explanation:

To determine the total cost of the meal, the director would use the equation x + 0.20x, which is option A.

To find the percent by which the cost of the meal increases with tax and gratuity, we need to compare the original cost of the meal to the total cost including tax and tip. The percent increase can be calculated using the formula:

Percent Increase = [(Total Cost - Original Cost) / Original Cost] * 100

In this case, the original cost is x and the total cost is x + 0.20x, which simplifies to 1.20x. Therefore, the percent increase is:

Percent Increase = [(1.20x - x) / x] * 100 = (0.20x / x) * 100 = 20%

Therefore, the correct answer for Part B is option B, 20%.