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Jaxon was out at a restaurant for dinner when the bill came. He wanted to leave a
13% tip. If dinner cost
d dollars and cents, which expression represents the cost of dinner plus tip?

0.13 d

1.013 d

1.13 d

13 d

Jaxon was out at a restaurant for dinner when the bill came. He wanted to leave a $13 \%$ tip. If dinner cost $d$ dollars and cents, which expression represents the cost of dinner plus tip? $\newline$ $0.13 d$ $\newline$ $1.013 d$ $\newline$ $1.13 d$ $\newline$ $13 d$

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Evaluate two-variable equations: word problems

Full solution

Q. Jaxon was out at a restaurant for dinner when the bill came. He wanted to leave a

13 \%

tip. If dinner cost

d

dollars and cents, which expression represents the cost of dinner plus tip?

\newline

0.13 d

\newline

1.013 d

\newline

1.13 d

\newline

13 d

Understand the problem: Understand the problem. $\newline$ We need to find an expression that represents the total cost of dinner including a $13\%$ tip. The cost of dinner is given as $d$ dollars.
Express the tip as a decimal: Express the tip as a decimal. $\newline$ To calculate a percentage of a number, we convert the percentage to a decimal. For a $13\%$ tip, we convert $13\%$ to a decimal by dividing by $100$ . $\newline$ $13\% = \frac{13}{100} = 0.13$
Calculate the tip amount: Calculate the tip amount. $\newline$ The tip amount is $13\%$ of the dinner cost, so we multiply $d$ dollars by $0.13$ . $\newline$ Tip $= 0.13 \times d$
Add the tip to the original dinner cost: Add the tip to the original dinner cost to get the total cost. $\newline$ The total cost of dinner including the tip is the original cost plus the tip. $\newline$ Total cost = Original cost + Tip $\newline$ Total cost = $d + (0.13 \times d)$
Combine like terms to simplify the expression: Combine like terms to simplify the expression. $\newline$ We can factor out $d$ from both terms to get the expression for the total cost. $\newline$ Total cost = $d \times (1 + 0.13)$ $\newline$ Total cost = $d \times 1.13$
Choose the correct expression: Choose the correct expression from the given options. $\newline$ The correct expression that represents the total cost of dinner including a $13\%$ tip is $1.13d$ .

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