one satellite radio service charges $10.00 per month plus an activation fee of $20.00. a second service charges $11.00 per month and an activation fee of $15.00 for what number of months is the cost of either service the same?
10x + 20 = 11x + 15.
10x - 11x = 15 - 20
-x = -5
X = 5 mo.
To determine the number of months for which the cost of either service is the same, we can set up an equation.
Let's assume the number of months is represented by "x."
For the first satellite radio service, the total cost can be calculated as follows:
Total cost for first service = Activation fee + (Monthly cost * Number of months)
Total cost for the first service = $20 + ($10 * x)
For the second satellite radio service, the total cost can be calculated as follows:
Total cost for second service = Activation fee + (Monthly cost * Number of months)
Total cost for the second service = $15 + ($11 * x)
We want to find the value of "x" for which the total cost of both services is the same. Therefore, we can set up the equation:
$20 + ($10 * x) = $15 + ($11 * x)
To find the value of "x," we can solve this equation.
$20 + ($10 * x) = $15 + ($11 * x)
$20 - $15 = ($11 * x) - ($10 * x)
$5 = $x
Thus, the cost of either service will be the same after 5 months.