Two competing cable companies have recently restructured their payment plans. Clear TV requires a $30 activation fee and charges $75 per month for their basic plan. Link TV requires no activation fee and charges $82.50 per month for their basic plan. When will the two plans be equal in cost?

Question

Mathematics

Midnight

5 September, 21:50

Two competing cable companies have recently restructured their payment plans. Clear TV requires a $30 activation fee and charges $75 per month for their basic plan. Link TV requires no activation fee and charges $82.50 per month for their basic plan. When will the two plans be equal in cost?

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Answers (1)

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Emmy Blackwell · Answer 1

Clear TV:

Activation fee = $30

Monthly charge = $7

Link TV:

Activation fee = $0

Monthly Charge = $82.50

Let x be the number of month that the two cost will be equal

30 + 75x = 82.5x

82.5x - 75x = 30

7.5x = 30

x = 30 : 7.5 = 4 months

The two plans will be of equal cost after 4 months.