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You have $20$ $\$$ to spend on taxi fare. The ride costs $5$ $\$$ plus $2.50$ per kilometer. Write an inequality to determine the distance in kilometers, $d$ , you can ride for $20$ $\$$ .

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One-step inequalities: word problems

Full solution

Q. You have

20

\$

to spend on taxi fare. The ride costs

5

\$

plus

2.50

per kilometer. Write an inequality to determine the distance in kilometers,

d

, you can ride for

20

\$

.

Set Up Inequality: Let's set up the inequality based on the given information. The total cost of the taxi ride is the initial fare plus the cost per kilometer times the number of kilometers. $\newline$ So, the inequality will be: $\newline$ Initial fare + (Cost per kilometer $\times$ Number of kilometers) $\leq$ Total money available $\newline$ $5 + 2.50d \leq 20$
Solve for d: Now, we need to solve for d to find the maximum distance that can be traveled with $\$20$ . Subtract the initial fare from both sides of the inequality to isolate the term with d. $5 + 2.50d - 5 \leq 20 - 5$ $2.50d \leq 15$
Divide to Find Maximum Distance: Next, divide both sides of the inequality by the cost per kilometer to solve for $d$ . $\frac{2.50d}{2.50} \leq \frac{15}{2.50}$ $d \leq 6$

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