One phone company charges a flat fee of $35, plus $0.15 for each minute.
The other phone company charges a flat fee of $20, plus $0.25 for each minute.
Which equation can be used to solve for the number of minutes, m, for which the companies charge the same amount?
35 + 0.15m = 20 + 0.25m
To determine the number of minutes for which the two phone companies charge the same amount, we need to set up an equation equating the total costs for both companies.
Let's represent the number of minutes as 'm'.
For the first phone company, the total cost is the sum of the flat fee of $35 and the additional charge of $0.15 per minute:
Total cost for the first company = $35 + ($0.15 * m) = 35 + 0.15m
For the second phone company, the total cost is the sum of the flat fee of $20 and the additional charge of $0.25 per minute:
Total cost for the second company = $20 + ($0.25 * m) = 20 + 0.25m
To find the number of minutes for which both companies charge the same amount, we can set up the equation:
35 + 0.15m = 20 + 0.25m
Simplifying this equation, we get:
0.1m = 15
To solve for 'm', we can divide both sides of the equation by 0.1:
m = 15 / 0.1
m = 150
Therefore, the equation that can be used to solve for the number of minutes, 'm', for which the companies charge the same amount is:
35 + 0.15m = 20 + 0.25m