Question

The amount of money, Suzanne Earns
(Y) For every magazine, she sells(x) is shown on the graph which equation could Suzanne use to calculate the amount of money she earns for any number of magazine she sells

Answer 1

To help you write the equation that Suzanne can use to calculate the amount of money earned based on the number of magazines sold, you'll want to identify the slope and y-intercept of the graph if you have it in front of you.

A linear equation can typically be defined in the form:
\[ Y = mx + b \]
where:
- \( Y \) is the total amount of money earned,
- \( m \) is the price earned per magazine (slope),
- \( x \) is the number of magazines sold,
- \( b \) is the initial amount earned (y-intercept).

**1. Identify the Slope (m):**
If the graph shows how much she earns per magazine, look for the rise (change in Y) over the run (change in X) between two points on the line. This will give you the number of dollars she earns per magazine.

**2. Identify the Y-Intercept (b):**
This is where the line crosses the Y-axis. If Suzanne starts with no money earned when no magazines are sold, then \( b = 0 \). If there's a starting amount, that’s the value of \( b \).

Once you identify \( m \) and \( b \), you can plug those values into the equation.

For example, if Suzanne earns $5 for each magazine sold and there’s no initial amount (b = 0), her equation would be:
\[ Y = 5x \]

If you provide more details about the specific amounts or values shown on the graph, I can help you write the exact equation!