Let's break down each question from the image.

Question 12: Savings Rate

You are given:

• In the third month, you have saved $378.
• In the tenth month, you have saved $560.

To find the monthly savings rate, we need to determine how much was saved over the 7-month period (from the third to the tenth month) and then divide by the number of months (7 months).

1. Change in savings: $560 - 378 = 182$
2. Time period: $10 - 3 = 7 \, \text{months}$
3. Monthly savings rate: $\frac{182}{7} = 26$ So, your savings rate is $26 per month.

Question 13: Slope of the Line

To calculate the slope of the line, use the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ From the graph, let's choose two points on the line:

• Point 1: $(-2, -6)$
• Point 2: $(4, 4)$

Now, apply the slope formula: $m = \frac{4 - (-6)}{4 - (-2)} = \frac{4 + 6}{4 + 2} = \frac{10}{6} = \frac{5}{3}$ So, the slope is 5/3.

Would you like further clarification or details on these problems?

Here are 5 follow-up questions related to this topic:

1. How would the savings rate change if the period extended over 12 months instead of 7?
2. What does the slope of a line tell you in a real-life situation?
3. How can you calculate future savings based on a constant savings rate?
4. How does changing one of the points on a line affect its slope?
5. Can a savings rate be negative? What would that imply?

Tip: When calculating slopes, always pick clear points where the line crosses grid intersections to ensure accuracy!