Final answer:
To find the point at which the cost of text messages is the same for both Verizon and AT&T, we need to set up an equation and solve it. The equation is $60 + $0.15x = $25 + $0.25x, where x represents the number of text messages. Simplifying the equation, we find that it would take 350 text messages for the costs to be the same for both companies.
Step-by-step explanation:
To find the point at which the cost of text messages is the same for both Verizon and AT&T, we need to set up an equation where the costs are equal:
Verizon: $60 + $0.15x
AT&T: $25 + $0.25x
Here, x represents the number of text messages.
To find out how many text messages it would take for the costs to be the same, we can set up the equation:
$60 + $0.15x = $25 + $0.25x
Simplifying the equation, we get:
$60 - $25 = $0.25x - $0.15x
$35 = $0.10x
Dividing both sides by $0.10, we get:
x = 350
So it would take 350 text messages for the costs to be the same for both companies.