I am having trouble on this question. a cable TV company charges $24.95 per month for basic service and $6.95 per month for each premium channel. a customer's bill for one month is $45.80. write and solve an equation to find the number of premium chnnels the customer receives?
(amount per month-basic service)/amount per premium channel
(45.80-24.95)/6.95=3
To solve this problem, we can start by expressing the total cost of the premium channels in terms of the number of premium channels the customer receives. Let's use the variable 'x' to represent the number of premium channels.
Since each premium channel costs $6.95 per month, the total cost of the premium channels will be ($6.95 * x). Additionally, the customer is also charged $24.95 per month for basic service.
So, the total monthly bill can be represented by the equation:
Total Bill = Cost of Basic Service + Cost of Premium Channels
$45.80 = $24.95 + ($6.95 * x)
Now, we can proceed to solve the equation to find the value of 'x', which represents the number of premium channels.
$45.80 - $24.95 = $6.95 * x
$20.85 = $6.95 * x
Next, divide both sides of the equation by $6.95 to isolate 'x' on one side:
$20.85 / $6.95 = x
x ≈ 2.99
Since the number of premium channels cannot be a fraction, we round the value of 'x' to the nearest whole number. Therefore, the customer receives approximately 3 premium channels.
Hence, the answer is that the customer receives 3 premium channels.