To plot a graph representing the amount of money Jillian has saved from the beginning until she has saved enough for her trip, we can follow these steps:
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Determine how much more Jillian needs:
- Jillian needs $185 and currently has $65.
- Amount still needed = $185 - $65 = $120.
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Determine how many weeks it will take to save enough:
- Jillian saves $12 each week.
- Weeks needed = $120 / $12 = 10 weeks.
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Calculate the total amount saved over time:
- At the beginning (week 0), she has $65.
- Each week, she will add $12 to her total.
- The amount of money Jillian has in each week can be expressed as:
- Week 0: $65
- Week 1: $65 + $12(1) = $77
- Week 2: $65 + $12(2) = $89
- Week 3: $65 + $12(3) = $101
- Week 4: $65 + $12(4) = $113
- Week 5: $65 + $12(5) = $125
- Week 6: $65 + $12(6) = $137
- Week 7: $65 + $12(7) = $149
- Week 8: $65 + $12(8) = $161
- Week 9: $65 + $12(9) = $173
- Week 10: $65 + $12(10) = $185
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Create a table for plotting:
| Week | Total Money ($) | |------|-----------------| | 0 | 65 | | 1 | 77 | | 2 | 89 | | 3 | 101 | | 4 | 113 | | 5 | 125 | | 6 | 137 | | 7 | 149 | | 8 | 161 | | 9 | 173 | | 10 | 185 |
- Plotting the graph:
- The x-axis will represent the number of weeks (from 0 to 10).
- The y-axis will represent the total amount of money saved (from $65 to $185).
- Plot the points corresponding to the data in the table above and connect them with a line to illustrate the increase in savings over time.
If you want to plot this graph using software or by hand, you can use the points to create a linear segment that reflects Jillian's savings growth over the specified time. The graph will show a straight line starting at $65 and sloping upwards, reaching $185 at week 10.