Option 1: Purchase a new phone for $300. Your cell phone bill will be $80 per month. Option 2: Make monthly payments of $25 for your phone. Your cell phone bill will be $70 per month (plus the $25 for the phone). How many months same overall cost?

Option 1: Purchase a new phone for $300. Your cell phone bill will be$80 per month.

Option 2: Make monthly payments of $25 for your phone. Your cell phone bill will be$70 per month (plus the $25 for the phone).

To find out which option has the same overall cost, we need to calculate the total cost for each option over a certain number of months and then compare.

For option 1: Total cost = $300 (initial phone cost) +$80 per month Total cost = $300 +$80x, where x is the number of months

For option 2: Total cost = $25 per month (phone payment) +$70 per month (cell phone bill) Total cost = $25 +$70x, where x is the number of months

We set these two equations equal to each other and solve for x: $300 +$80x = $25 +$70x

Subtract $70x from both sides:$300 + $10x =$25

Subtract $300 from both sides:$10x = -$275

Divide both sides by $10: x = -$275 / $10 x = -27.5

Since the number of months cannot be negative, there's no real solution for x. This means that there is no number of months where the overall cost of the two options is the same. Therefore, there's no point where both options have the same overall cost.