You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $34.95 plus 8 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.

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marystew2107 marystew2107

Today at 11:53 AM
Mathematics

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You are choosing between two different cell phone plans. The first plan charges a rate of 22 cents per minute. The second plan charges a monthly fee of $34.95 plus 8 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.

Answer :

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adefunkeadewole adefunkeadewole · Answer 1 · 2025-03-29T11:58:45-04:00

Answer:

249.64285714 minutes

Step-by-step explanation:

Let

The number of minutes you talk = t

C1 = Cost in dollars of the first plan

C2 = Cost in dollars of the second plan

First plan

The first plan charges a rate of 22 cents per minute

Converting cents to dollars

100 cents = 1 dollars

22 cents =

22/100 cents

=$ 0.22

C1 = $0.22 × t

C1 = 0.22t

Second Plan

The second plan charges a monthly fee of $34.95 plus 8 cents per minute.

Converting cents to dollars

100 cents = 1 dollars

8 cents =

8/100 cents

=$ 0.08

C2 = $34.95 + 0.08t

Find the number of talk minutes that would produce the same cost for both plans

We would Equate C1 to C2

C1 = C2

0.22t = $34.95 + 0.08t

Collect like terms

0.22t - 0.08t = $34.95

= 0.14t = $34.95

Divide both sides by 0.14

= t = $34.95/0.14

t = 249.64285714

Therefore, the number of talk minutes that would produce the same cost for both plans is 249.64285714 minutes.