Question

5 tyler needs at least $205 for a new video game system. he has already saved $30. he earns $7 an hour at his job. write and solve an inequality to find how many hours he will need to work to buy the system. interpret the solution. (example 5) inequality: solution: interpretation:

Explanation:

Step1: Define the variable

Let $h$ be the number of hours Tyler works.

Step2: Write the inequality

Tyler has $30$ saved and earns $7$ per hour. The total money ($30 + 7h$) must be at least $205$. So, $30 + 7h \geq 205$.

Step3: Solve the inequality

Subtract $30$ from both sides: $7h \geq 205 - 30 = 175$.
Divide both sides by $7$: $h \geq \frac{175}{7} = 25$.

Step4: Interpret the solution

The solution $h \geq 25$ means Tyler must work 25 or more hours to have enough money for the video game system.

Answer:

Inequality: $30 + 7h \geq 205$
Solution: $h \geq 25$
Interpretation: Tyler needs to work at least 25 hours.