Question

2.1 question 39 write the inequality and then solve. at the san diego zoo you can either pay $22.75 for the entrance fee or $71 for the yearly pass which entitles you to unlimited admission. at most how many times can you enter the zoo for the $22.75 entrance fee before spending more than the cost of a yearly membership? inequality: answer:

Explanation:

Step1: Define variable

Let $x$ be the number of times entering the zoo.

Step2: Write the inequality

The cost of entering $x$ times at $\$22.75$ per - time should be less than or equal to the cost of the yearly pass. So the inequality is $22.75x\leq71$.

Step3: Solve the inequality

Divide both sides of the inequality by $22.75$: $x\leq\frac{71}{22.75}$.
Calculate $\frac{71}{22.75}\approx3.12$.
Since $x$ represents the number of times and must be an integer, the maximum value of $x$ is $3$.

Answer:

Inequality: $22.75x\leq71$