Dan is trying to find a new cell phone plan. Throttle Talks offers a plan for $64.11 a month, plus $2.03 for each megabyte of data. Clutch Cells offers a plan for $63.61 a month, plus $2.08 for each megabyte of data. How many megabytes of data will Dan have to use in one month for the cell phone plans to cost him the same amount?
Let's assume Dan uses x megabytes of data in one month.
For Throttle Talks, the cost of the plan would be $64.11 + $2.03x.
For Clutch Cells, the cost of the plan would be $63.61 + $2.08x.
To find when the plans cost the same, we can set up the following equation:
64.11 + 2.03x = 63.61 + 2.08x
By subtracting 2.03x and 63.61 from both sides, we get:
0.50 = 0.05x
By dividing both sides by 0.05, we find that:
x = 10
Therefore, Dan will have to use 10 megabytes of data in one month for the cell phone plans to cost him the same amount.