A pay for service internet company charges 4 dollars per hour for the first 10 hours of service plus a 5 dollar connection fee.
What is the domain and range
The domain i believe is 1, 2, 3, 4, 5, 6, 7,8,9,10
I don't know the range.
Thank you
The domain is indeed 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, as these are the possible hours of service that can be purchased.
To find the range, we need to determine the possible amounts that a customer could pay.
For the first 10 hours, the cost is $4 per hour, so the cost for 1 hour is $4, for 2 hours it's $8, for 3 hours it's $12, and so on, up to 10 hours which would be $40.
In addition to the hourly charges, there is a $5 connection fee.
So, the possible amounts a customer could pay are: $4 (for 1 hour of service), $8 (for 2 hours), $12 (for 3 hours), ..., $40 (for 10 hours), $45 (for 11 hours), $50 (for 12 hours), etc.
Based on this, the range includes all possible amounts a customer could pay, starting from $4 for the first hour up to an unlimited amount. Therefore, the range can be expressed as:
Range = {$4, $8, $12, ..., $40, $45, $50, ...}
To determine the range of a function, we need to find all possible output values. In this case, the function represents the total cost of the internet service based on the number of hours used.
The connection fee is a one-time charge of $5, so regardless of the number of hours used, that cost remains the same.
The hourly charge is $4 for the first 10 hours. So, for each hour used in that range, the cost increases by $4.
Therefore, to find the maximum cost within the range, we can calculate the cost for 10 hours of service:
10 hours x $4/hour = $40
Thus, the range of this function is $5 to $40, as the cost must be at least $5 (connection fee) and can increase up to $40 for 10 hours of service.