Question

You are choosing between two different cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $49.95 plus 11 cents per minute. Let t be the number of minutes you talk and C 1 and C 2 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).
C 1 = _________________

C 2 = _________________

If you talk for ______________ minutes the two plans will have the same cost.

Answer 1

1. The equation for each plan in terms of t is as follows:

C 1 = 0.26t

C 2 = 49.95 + 0.11t

2. If you talk for 333 minutes, the two plans will have the same cost.

What is an equation?

An equation is a mathematical statement that shows that both sides are equal.

To set an equation, the two sides will be put as a = b.

Data and Calculations:

                               1st Plan       2nd Plan

Plan charges         $0.26 pm     $49.95 + $0.11 pm

Let t = the number of minutes of talks

C 1 = the cost of the first plan = 0.26t

C 2 = the cost of the second plan = 49.95 + 0.11t

Solution:

0.25t = 49.95 + 0.11t

Subtract 0.11t from both sides:

0.15t = 49.95

t = 49.95/0.15

t = 333 minutes

Thus, an equation in terms of t, to find the number of talk minutes (333 min.) to produce the same cost for both plans is 0.26t = 49.95 + 0.11t.

Learn more about equations at brainly.com/question/2972832

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