Question

The total of your dinner bill plus tip is $19.00. You left a $3.00.

(a) The $3.00 tip is what percent of the dinner bill?
(b) The percent in part (a) is you customary tip percentage. Write an expression for the total of a dinner bill plus tip, for any d dinner bill.

Answer 1

To find the percentage of the dinner bill that the $3.00 tip represents, divide the tip amount by the dinner bill and multiply by 100. The answer is 15.79%. The expression for the total bill with tip is d + (d x 0.1579), which simplifies to 1.1579d.

Step-by-step explanation:

To find the percentage of the dinner bill that the $3.00 tip represents, you can use the formula:

Tip percentage = (Tip amount / Dinner bill) x 100

Substituting the given values, the tip percentage is:

(3 / 19) x 100 = 15.79%

To write an expression for the total of a dinner bill plus tip, you can use the formula:

Total bill with tip = Dinner bill + (Dinner bill x Tip percentage)

Substituting the given values, the expression for the total bill is:

Total bill = d + (d x 0.1579) = 1.1579d

Answer 2

A. Roughly 16%

B. D=x+T

Step-by-step explanation:

A. You want to leave a 16% tip on a meal that cost $19.

First, convert the 16% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 16%) by 100%.So, the conversational term "16%" becomes 16% / 100% = 0.16 in terms of a real mathematical number.

Second, you need to find out what 16% of your $19 meal cost is.This is always done by multiplying 0.16 by $19.00, or

0.16 x $19.00=$3.04.

So, the amount of tip you are going to leave is $3.04.

B. D=dinner bill. X= meal price, T=tip.

X+T=D or, D=X+T.