Question

1. a movie theater makes a profit of $7.25 on each ticket sold. if the theater wants to make a profit of at least $5,800, how many tickets must it sell?
2. maria is going to the county fair. the entrance fee is $15, and each ride costs $3. if she brings $40 to spend, what is the maximum number of rides she can go on?
3. write an inequality for the following sign: speed limit 70

Explanation:

Step1: Set up inequality for Maria's fair - spending

Let $x$ be the number of rides. The entrance fee is $15$ and each ride costs $3$, and she has $40$ to spend. So the inequality is $15 + 3x\leq40$.

Step2: Solve the inequality for $x$

Subtract $15$ from both sides: $3x\leq40 - 15$, which simplifies to $3x\leq25$.

Step3: Isolate $x$

Divide both sides by $3$: $x\leq\frac{25}{3}\approx8.33$. Since the number of rides must be an integer, the maximum value of $x$ is $8$.

Step4: Write the inequality for the speed - limit

The speed limit sign shows $70$, so the inequality is $s\leq70$, where $s$ represents the speed.

Answer:

1. The maximum number of rides is $8$.
2. $s\leq70$