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Doss [256]
3 years ago
13

Erin is considering joining one of 2 clubs. Club A has no registration fee, but charges $105 per month. Club B charges members $

80 per month plus a one-time registration fee of $375. For how many months is club A the cheaper option? Use system of equations
Mathematics
1 answer:
inn [45]3 years ago
3 0

Answer:

4 months

Step-by-step explanation:

<u>Club A</u>

<em>registration fee: </em>$0

<em>monthly fee</em>: $105

<em>After</em><em> </em><em>every</em><em> </em><em>month</em><em>,</em><em> </em><em>the</em><em> </em><em>total</em><em> </em><em>cost</em><em> </em><em>increases</em><em> </em><em>by</em><em> </em><em>$</em><em>1</em><em>0</em><em>5</em><em>.</em>

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

<u>Club</u><u> </u><u>B</u>

<em>registration</em><em> </em><em>fee</em><em>:</em><em> </em><em>$</em><em>375</em>

<em>monthly</em><em> </em><em>fee</em><em>:</em><em> </em><em>$</em><em>8</em><em>0</em>

<em>Notice how</em><em> </em><em>Club</em><em> </em><em>B's</em><em> </em><em>total</em><em> </em><em>reaches</em><em> </em><em>Club</em><em> </em><em>A's</em><em> </em><em>total</em><em> </em><em>after</em><em> </em><em>2</em><em> </em><em>months</em><em>.</em>

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695

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