Answer:
see the explanation in the procedure
Step-by-step explanation:
The complete question is
Tanisha and Rebecca are signing up for the new cellphone plans that only charge for the number of minutes and everything else is included in a monthly fee. Their plans are as follows:
Tanisha s Plan: $0.15 per minute used talking and a $25 monthly fee
Rebecca s Plan: $0.10 per minute used talking and a $18.50 monthly fee
After how many minutes will the two plans charge the same amount?
Let
x ----> the number of minutes
y ---> the total charge in dollars
we know that
Tanisha s Plan
[tex]y=0.15x+25[/tex] -----> equation A
Rebecca s Plan
[tex]y=0.10x+18.50[/tex] -----> equation B
To find out after how many minutes will the two plans charge the same amount, equate equation A and equation B
[tex]0.15x+25=0.10x+18.50[/tex]
solve for x
[tex]0.15x-0.10x=18.50-25[/tex]
[tex]0.05x=-6.5[/tex]
[tex]x=-130\ min[/tex]
therefore
They will never pay the same amount , because the time cannot be a negative number.
Rebecca s Plan is better than Tanisha s Plan because it has smaller fee and less cost per minute
