Question

the cost of bellas dinner is $24. she decides to leave a 15% tip. which proportion could be used to determine the amount of the tip? what is the cost of the meal with the tip? a \LXI0; $27.60 b \\(\frac{24}{x} = \frac{15}{100}\\); $27.60 c \LXI2; $28.50 d \\(\frac{100}{24} = \frac{x}{15}\\); $27.60

Explanation:

Step1: Analyze the proportion for tip

Let \( x \) be the tip amount. The tip is 15% of the dinner cost (\$24). So the proportion should be \(\frac{x}{24}=\frac{15}{100}\) (since part/whole = percent/100).

Step2: Solve for \( x \)

Cross - multiply: \( 100x = 24\times15\). \( 100x=360\), so \( x = \frac{360}{100}=3.6\).

Step3: Find total cost

The total cost of the meal with tip is dinner cost + tip = \( 24 + 3.6=27.60\) dollars.

Answer:

A. \(\frac{x}{24}=\frac{15}{100}\); \$27.60