Question: Homework 3.5: Graphs Using Slope-Intercept Form
Score: 1/9 Answered: 1/9
Progress saved Done
Question 2
0/1 pt 100 99 Details
You started this year with $236 saved and you continue to save $29 per month.
Write an equation to model this situation (use m for months and s for savings).
Graph/math hint: top-left 6 linear savings situation with starting value 236 and rate of change +29 per month; equation should be s = 29m + 236.
1. **State the problem:**
You start with $236 saved and save an additional $29 every month. We want to write an equation for total savings $s$ after $m$ months.
2. **Formula used:**
The slope-intercept form of a linear equation is $$s = mx + b$$ where $m$ is the rate of change (slope) and $b$ is the initial value (y-intercept).
3. **Identify values:**
- Initial savings (intercept) $b = 236$
- Monthly savings rate (slope) $m = 29$
4. **Write the equation:**
$$s = 29m + 236$$
5. **Explanation:**
This means for each month $m$, you add $29$ to your savings starting from $236$.
6. **Final answer:**
$$\boxed{s = 29m + 236}$$