Question

diego went to a restaurant, and his dinner bill was $24. he paid a total of $28.32. which equation will help find the percent tip (in decimals), x, that diego gave the server? \\(\bigcirc\\) \\(24 - 24 \cdot x = 4.32\\) \\(\bigcirc\\) \\(24 - 24 \cdot x = 28.32\\) \\(\bigcirc\\) \\(24 + 24 \cdot x = 4.32\\) \\(\bigcirc\\) \\(24 + 24 \cdot x = 28.32\\)

Explanation:

Step1: Define total payment components

Total payment = Bill + Tip. Tip = $24 \cdot x$.

Step2: Set up total payment equation

Bill + Tip = Total paid, so $24 + 24 \cdot x = 28.32$.

Step3: Eliminate incorrect options

Subtracting tip would lower the bill (matches no total), and setting sum to 4.32 only equals the tip amount, not total.

Answer:

$\boldsymbol{24 + 24 \cdot x = 28.32}$