To write an equation in slope-intercept form \(y = mx + b\) that represents Jonas's savings, we need to identify the slope \(m\) and the y-intercept \(b\).
- The slope \(m\) represents the amount he adds each week, which is $3.
- The y-intercept \(b\) is the initial amount he has saved, which is $50.
Combining these values, the equation representing the relationship between the amount of money \(y\) and the number of weeks \(x\) is:
\[ y = 3x + 50 \]