Let x be the number of days for which the costs are the same.
For agency 1, the cost is 110 + 46x.
For agency 2, the cost is 70 + 54x.
Setting the two costs equal to each other, we get 110 + 46x = 70 + 54x.
Subtracting 46x and 70 from both sides, we get 40 = 8x.
Dividing both sides by 8, we get x = 5.
The costs are the same for 5 days.
Therefore, the answer is 5.
A rental car agency charges a flat fee of $110.00 plus $46.00 per day to rent a certain car. Another agency charges a fee of $70.00 plus $54.00 per day to rent the same car. Using a graphing calculator, find the number of days for which the costs are the same. Round your answer to the nearest whole day.
9
3
5
8
1 answer