Question

Paul wants to buy a phone. T-mobile is offering a $40 activation fee and $60 a month. AT&T is offering a $160 activation fee and $20 a month. At what month would Paul be paying the same amount?

Answer 1

• At month 3

Explanation:

Let's make equations for each case, with y being the total charge and x - the number of months.

T - mobile

• y = 40 + 60x

AT&T

• y = 160 + 20x

Make the equations equal an solve for x:

• 40 + 60x = 160 + 20x
• 60x - 20x = 160 - 40
• 40x = 120
• x = 3