Question

Jonas is saving money for an upcoming vacation. He currently has $50 in his savings account. He plans to add $3 each week. Write an equation that represents the relationship between the amount of money, y, and the number of weeks, x. Use the slope - intercept form y = mx + b.

Answer 1

To write an equation in slope-intercept form (y = mx + b) that represents Jonas's savings, we need to identify the components of the equation:

- **y** represents the total amount of money Jonas has after x weeks.
- **x** represents the number of weeks.
- The initial amount of money he has is $50, which will serve as the y-intercept (b).
- Jonas plans to add $3 each week, which is the slope (m).

Thus, we can define the equation as follows:

- The slope (m) is $3 (the amount added each week).
- The y-intercept (b) is $50 (the initial amount).

Putting this together, the equation is:

\[ y = 3x + 50 \]

This equation represents the relationship between the total amount of money Jonas has (y) and the number of weeks (x) he saves.