You are ordering a meal and have $15 to spend. The restaurant charges a 6% sales tax, and you plan to leave a 15% tip. The equation \( c = x + 0.06x + 0.15x \) gives the total cost \( c \) of your meal, where \( x \) is the cost before tax and tip. What is the maximum amount you can spend before tax and tip?

just solve the equation, x + 0.15x + 0.06x = 15 1.21x = 15, x = $12.39 (nearly)

Answered by here2help | 2024-06-10

Answer:
The maximum amount you can spend before tax and tip is:
$ 12.397
Step-by-step explanation:
x represents the cost before tax and tip.
Also, we have a total of $ 15 to spend on.
The equation which represents the total cost of our meal is given by:
c= x+0.06x+0.15x
This means that:
c ≤ 15 i . e . x + 0.06 x + 0.15 x ≤ 15 1.21 x ≤ 15 x ≤ 1.21 15 ​ x ≤ 12.397
The answer is: $ 12.397

Answered by lidaralbany | 2024-06-12

To find the maximum amount to spend before tax and tip, use the equation c = x + 0.06 x + 0.15 x and solve for x when c = 15 . The calculation gives you a maximum spending amount of approximately $12.40. This amount ensures that the total cost including tax and tip stays within $15.
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Answered by here2help | 2024-10-12