Mark often buys lunch at the store next to his work. Lunch at the store costs $7.50. Mark sets aside $150
for lunches at the store at the beginning of the month. Which equation describes how much money, y,
Mark has after eating lunch at the store x times during the month?

y = 7. 5x − 150
y = − 7. 5x − 150
y = 7. 5x + 150
y = − 7. 5x + 150

To solve this, let's break down the situation:

- Mark starts with $150.
- Each lunch costs him $7.50.
- After eating lunch $x$ times, the total amount of money he has spent is $7.5x$.
- The remaining money Mark has after eating lunch $x$ times would be the initial $150 minus the total spent.

So, the equation that describes how much money $y$ Mark has left is:

\[
y = 150 - 7.5x
\]

This matches the equation $ y = -7.5x + 150 $.

Thus, the correct equation is:

\[
y = -7.5x + 150
\]

Would you like more details on how to interpret the equation?

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Here are 5 related questions to expand your understanding:
1. What happens to Mark's money after 10 lunches?
2. How much will Mark have left if he eats lunch 15 times?
3. How can we calculate the number of lunches Mark can buy before running out of money?
4. What is the slope of the equation $y = -7.5x + 150$ and what does it represent?
5. If Mark skips lunch for a day, how does this affect the equation?

**Tip**: When writing equations for word problems, carefully translate the actions described into mathematical operations (e.g., spending or adding).

Mark often buys lunch at the store next to his work. Lunch at the store costs $7.50. Mark sets aside $150 for lunches at the store at the beginning of the month. Which equation describes how much money, y, Mark has after eating lunch at the store x times during the month?

y = 7.5x − 150
y = − 7.5x − 150
y = 7.5x + 150
y = − 7.5x + 150

Discover how to solve a real-world problem involving linear equations. Mark spends $7.50 per lunch, and this problem shows how to find out how much money he has left after x lunches using the equation y = -7.5x + 150. Perfect for students in Grades 6-8.

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