Nathaniel was out at a restaurant for dinner when the bill came. He wanted to leave a 14% tip. If dinner cost d dollars and cents, which expression does NOT represent the cost of dinner plus tip? 1.014 d d+0.14 d 1.14 d 1d+0.14 d

Question

Nathaniel was out at a restaurant for dinner when the bill came. He wanted to leave a  14% tip. If dinner cost  d dollars and cents, which expression does NOT represent the cost of dinner plus tip?  1.014 d  d+0.14 d  1.14 d  1d+0.14 d

Bytelearn · Accepted Answer

Identify Calculation Method: Identify the correct way to calculate a 14% tip on the dinner cost. To calculate a 14% tip, you multiply the cost of dinner by 0.14 and add it to the original cost. The expression for the total cost including tip should be the original cost plus 14% of the original cost.Analyzing 1.014d Expression: Analyze the first expression: 1.014d. This expression suggests that you take the original cost d and add 1.4% of d, which is not the correct tip amount. However, 1.014 is actually the result of adding 1 (100%) to 0.014 (1.4%), which is not the correct tip percentage.Analyzing d + 0.14d Expression: Analyze the second expression: d + 0.14d. This expression suggests that you take the original cost d and add 14% of d, which is the correct way to calculate the tip.Analyzing 1.14d Expression: Analyze the third expression: 1.14d. This expression suggests that you take the original cost d and add 14% of d, which is the correct way to calculate the tip.Analyzing 1d + 0.14d Expression: Analyze the fourth expression: 1d + 0.14d. This expression is equivalent to d + 0.14d, which correctly represents the original cost plus a 14% tip.Determine Incorrect Expression: Determine which expression does NOT represent the cost of dinner plus a 14% tip. The first expression, 1.014d, is the one that does NOT correctly represent the cost of dinner plus a 14% tip, as it only adds 1.4% instead of 14%.

Nathaniel was out at a restaurant for dinner when the bill came. He wanted to leave a $14 \%$ tip. If dinner cost $d$ dollars and cents, which expression does NOT represent the cost of dinner plus tip? $\newline$ $1.014 d$ $\newline$ $d+0.14 d$ $\newline$ $1.14 d$ $\newline$ $1 d+0.14 d$

Full solution

More problems from Pythagorean Theorem and its converse

Related topics