If AT&T pffered a plan that costs $25 monthly and $0.10 for each text message sent, and Verizon offered a plan that costs $1.35 per text message, for how many text messages would both companies charge the same amount?
+23254 Let x = number of text messages:
ATT plan: 25.00 + 0.10·x
Verizon plan: 1.35·x
To calculate when they will be the same: 25.00 + 0.10x = 1.35x
Subtract 0.10x from both sides: 25.00 = 1.25x
Divide both sides by 1.25: 20 = x
For 20 text messages: ATT cost = 25.00 + 0.10·20 = 25.00 + 2.00 = 27.00
Verizon cost = 1.35·20 = 27.00
+23254 Let x = number of text messages:
ATT plan: 25.00 + 0.10·x
Verizon plan: 1.35·x
To calculate when they will be the same: 25.00 + 0.10x = 1.35x
Subtract 0.10x from both sides: 25.00 = 1.25x
Divide both sides by 1.25: 20 = x
For 20 text messages: ATT cost = 25.00 + 0.10·20 = 25.00 + 2.00 = 27.00
Verizon cost = 1.35·20 = 27.00
