amount of money Susan eas (y) for every magazine she sells (x) is shown on the graph. Which equation could Susan use to calculate the amount of money she earns for any number of magazines she sells?

1 answer

To determine the equation that Susan could use to calculate the amount of money she earns based on the number of magazines she sells, we need to identify the relationship between the number of magazines sold (x) and the amount of money earned (y).

If the graph shows a linear relationship, the equation would be in the form of:

\[ y = mx + b \]

Where:

  • \( y \) is the total earnings,
  • \( m \) is the amount of money Susan earns per magazine sold (the slope),
  • \( x \) is the number of magazines sold,
  • \( b \) is the y-intercept (which represents any fixed amount Susan earns regardless of magazine sales, or zero if she earns solely from selling magazines).

If you have a specific value for \( m \) (how much Susan earns per magazine) and \( b \) (if there is a starting amount), you can plug those values into the equation to create a specific function.

For example, if Susan earns $5 for each magazine, the equation would be:

\[ y = 5x \]

If there is a fixed amount she earns, say $10, the equation would be:

\[ y = 5x + 10 \]

Please provide the specific details from the graph, such as the slope and the intercept, for more tailored guidance.