https://file.aiquickdraw.com/mathbot/file/1726859564319do5o4od7.jpg

The problem describes a gym membership where Becca pays a $150 starting fee and $50 per month. We are asked to find which equation can be used to determine the number of months (denoted as $ x $) she can be a member before her total cost exceeds or equals $1000.

The total cost equation is:

\[
\text{Total cost} = 150 + 50x
\]

We want to find out when this total cost reaches or exceeds $1000. So, we are looking for an inequality representing this condition.

The correct inequality would be:

\[
150 + 50x \geq 1000
\]

This represents that the total amount she pays (including the $150 starting fee and $50 per month) must be **greater than or equal** to $1000.

Thus, the second option, $ 150 + 50x \geq 1000 $, is the correct answer.

---

Would you like further explanation on solving this inequality? 

Here are 5 related questions for practice:
1. How many months does it take for the total cost to exactly equal $1000?
2. What happens if the monthly fee is $60 instead of $50?
3. How would the equation change if the starting fee is removed?
4. What would the inequality look like if she wants to pay less than $1000?
5. How do you graph this inequality on a number line?

**Tip:** In inequalities, pay attention to whether the comparison involves “less than” or “greater than” (with or without equality) to avoid confusion when solving problems.

Becca joins a gym that charges a $150 starting fee, plus $50 per month. Which equation can be used to find the number of months she can be a member before she has paid a total of $1000?

Learn how to solve a linear inequality involving a gym membership fee and monthly cost. This problem focuses on creating an equation to determine the number of months before the total cost reaches or exceeds $1000. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation