Subjects algebra

Savings Equation 4Cd20A

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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:** $$\boxed{s = 29m + 236}$$