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14. Lara had 25 to spend at the fair. If the admission to the fair is 4 and the rides cost 1.50 each, want us the greatest number of rides can Lara go on? a. Write an inequality that represents Lara's situation. b. How many rides can Lara go on?Explain. c. Graph your solution below.

Pergunta

14. Lara had 25 to spend at the fair. If the admission to the fair is 4 and the
rides cost 1.50 each, want us the greatest number of rides can Lara go on?
a. Write an inequality that represents Lara's situation.
b. How many rides can Lara go on?Explain.
c. Graph your solution below.

14. Lara had 25 to spend at the fair. If the admission to the fair is 4 and the rides cost 1.50 each, want us the greatest number of rides can Lara go on? a. Write an inequality that represents Lara's situation. b. How many rides can Lara go on?Explain. c. Graph your solution below.

Solução

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GlóriaElite · Tutor por 8 anos

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a. The inequality that represents Lara's situation is \(4 + 1.5x \leq 25\).<br />b. To find the maximum number of rides Lara can go on, we need to solve the inequality for \(x\). Subtract 4 from both sides of the inequality to get \(1.5x \leq 21\). Then, divide both sides by 1.5 to get \(x \leq 14\). So, Lara can go on at most 14 rides.<br />c. The graph of the inequality would show all numbers from 0 to 14, inclusive, as possible solutions.

Explicação

## Step 1<br />Lara has $25 to spend at the fair. The admission to the fair is $4 and each ride costs $1.50. We need to find out the maximum number of rides Lara can go on.<br /><br />## Step 2<br />We can represent Lara's situation with an inequality. The total amount Lara spends on the fair and rides should not exceed $25. This can be represented as:<br />### \(4 + 1.5x \leq 25\)<br />where \(x\) is the number of rides Lara can go on.<br /><br />## Step 3<br />To find the maximum number of rides Lara can go on, we need to solve the inequality for \(x\).<br /><br />## Step 4<br />We can graph the inequality on a number line. The number line will have a range from 0 to 15, with each integer representing a possible number of rides Lara can go on.
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