Answer :
To determine Juanita's monthly rate of savings, we need to find the consistent change in the amount of her savings over a given period of months. Let's break this down step-by-step using the given table of values:
| Number of Months Working at Part-Time Job | 0 | 2 | 4 | 6 | 8 |
|-------------------------------------------|----|----|----|----|----|
| Amount in Savings Account (in dollars) | 36 | 60 | 84 | 108 | 132 |
1. Identify the Change in Savings Over a Set Period:
- First, we calculate the change in the savings between two consecutive data points. For simplicity, let's consider the change from month 0 to month 2.
2. Calculate the Change in Savings:
- Savings at month 0: \$36
- Savings at month 2: \$60
- The change in savings from month 0 to month 2 = \[tex]$60 - \$[/tex]36 = \$24
3. Calculate the Change in Time (Months):
- Time at month 0: 0 months
- Time at month 2: 2 months
- The change in time from month 0 to month 2 = 2 - 0 = 2 months
4. Determine the Monthly Rate of Savings:
- The monthly rate of savings is the change in savings divided by the change in time.
- Monthly rate of savings = \( \frac{24 \text{ dollars}}{2 \text{ months}} = 12 \text{ dollars per month} \)
Therefore, Juanita's monthly rate of savings is [tex]\(\$12\)[/tex] per month. This is a consistent rate, as the savings increase by the same amount for every subsequent two months, confirming that the savings are growing linearly.
| Number of Months Working at Part-Time Job | 0 | 2 | 4 | 6 | 8 |
|-------------------------------------------|----|----|----|----|----|
| Amount in Savings Account (in dollars) | 36 | 60 | 84 | 108 | 132 |
1. Identify the Change in Savings Over a Set Period:
- First, we calculate the change in the savings between two consecutive data points. For simplicity, let's consider the change from month 0 to month 2.
2. Calculate the Change in Savings:
- Savings at month 0: \$36
- Savings at month 2: \$60
- The change in savings from month 0 to month 2 = \[tex]$60 - \$[/tex]36 = \$24
3. Calculate the Change in Time (Months):
- Time at month 0: 0 months
- Time at month 2: 2 months
- The change in time from month 0 to month 2 = 2 - 0 = 2 months
4. Determine the Monthly Rate of Savings:
- The monthly rate of savings is the change in savings divided by the change in time.
- Monthly rate of savings = \( \frac{24 \text{ dollars}}{2 \text{ months}} = 12 \text{ dollars per month} \)
Therefore, Juanita's monthly rate of savings is [tex]\(\$12\)[/tex] per month. This is a consistent rate, as the savings increase by the same amount for every subsequent two months, confirming that the savings are growing linearly.
