a cell phone carrier offers two plans for text messaging. plan a costs $20 per month plus $0.05 per text…

a cell phone carrier offers two plans for text messaging. plan a costs $20 per month plus $0.05 per text. plan b costs $10 per month plus $0.10 per text. for how many text messages per month are the plans the same cost?\n20\n30\n200\n300

a cell phone carrier offers two plans for text messaging. plan a costs $20 per month plus $0.05 per text. plan b costs $10 per month plus $0.10 per text. for how many text messages per month are the plans the same cost?\n20\n30\n200\n300

Answer

Explanation:

Step1: Set up cost equations

Let ( x ) be the number of text messages. Cost of Plan A: ( C_A=20 + 0.05x ) Cost of Plan B: ( C_B=10+0.10x )

Step2: Set ( C_A = C_B )

[ \begin{align*} 20 + 0.05x&=10+0.10x\ 20-10&=0.10x - 0.05x\ 10&=0.05x\ x&=\frac{10}{0.05}\ x& = 200 \end{align*} ]

Answer:

200