Answer:
285.28571429 minutes
Step-by-step explanation:
Let us represent
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 26 cents per minute
Converting cents to dollars
100 cents = 1 dollars
26 cents =
26/100 cents
=$ 0.26
C1 = $0.26 × t
C1 = 0.26t .......... Equation 1
Second Plan
The second plan charges a monthly fee of $39.95 plus 12 cents per minute
Converting 12 cents to dollars
100 cents = 1 dollars
12 cents =
12/100
= $0.12
C2 = $39.95 + 0.12t........Equation 2
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.26t = $39.95 + 0.12t
Collect like terms
0.26t - 0.12t = $39.95
= 0.14t = $39.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 285.28571429 minutes
Therefore, the number of talk minutes that would produce the same cost for both plans is 285.28571429 minutes.
