Answer:
It will take 12 years for the schools to be the same. This problem illustrates systems of linear functions.
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Equation |
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Let x = number of years |
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Apollo Senior High = 3260 - 70x |
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Gemini Senior High = 1640 + 65x |
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3260 – 70x |
= |
1640 + 65x |
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-1640 |
= |
-1640 |
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1620 – 70x |
= |
65x |
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+ 70x |
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+ 70x |
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1620 |
= |
135x |
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12 |
= |
x |
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Table |
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Apollo Senior High |
Gemini Senior High |
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3260 - 70x |
1640 + 65x |
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after 0 yrs |
3260 |
1640 |
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after 2 yrs |
3120 |
1770 |
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after 4 years |
2980 |
1900 |
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after 6 years |
2840 |
2030 |
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after 8 years |
2700 |
2160 |
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after 10 years |
2560 |
2290 |
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after 12 years |
2420 |
2420 |
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After 12 years the student population is the same. |
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Graph |