A pay for service internet company charges 4 dollars per hour for the first 7 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
I don't know the range.
Thank you
The domain represents the input values or the independent variable. In this case, it represents the number of hours of service. You are correct that the domain would be the set of numbers from 1 to 7 since those are the valid number of hours of service.
The range represents the output values or the dependent variable. In this case, it represents the cost of the service. To find the range, we need to calculate the cost of service for each number of hours in the domain.
For 1 hour, the cost would be $4 (charge per hour) + $5 (connection fee) = $9.
For 2 hours, the cost would be $8 (charge per hour for 2 hours) + $5 (connection fee) = $13.
For 3 hours, the cost would be $12 (charge per hour for 3 hours) + $5 (connection fee) = $17.
And so on.
So, the range would be the set of costs corresponding to each number of hours in the domain. Therefore, the range would be $9, $13, $17, $21, $25, $29, $33.
Hope this helps!
To determine the domain and range of a function, we need to understand the values that the independent variable (in this case, the number of hours of service) can take and the corresponding values of the dependent variable (in this case, the total cost).
The domain is the set of all possible values for the independent variable. In this case, the number of hours of service can range from 0 (no service) to any positive integer. So the domain would be {0, 1, 2, 3, 4, 5, 6, 7, ...}.
The range is the set of all possible values for the dependent variable. Here, the total cost can be calculated using the given formula: 4 dollars per hour for the first 7 hours, plus a 5 dollar connection fee. Let's analyze the possible scenarios to determine the range:
1) If the number of hours is 0: Total cost = 0 * 4 + 5 = 5 dollars
2) If the number of hours is 1: Total cost = 1 * 4 + 5 = 9 dollars
3) If the number of hours is 2: Total cost = 2 * 4 + 5 = 13 dollars
4) If the number of hours is 3: Total cost = 3 * 4 + 5 = 17 dollars
5) If the number of hours is 4: Total cost = 4 * 4 + 5 = 21 dollars
6) If the number of hours is 5: Total cost = 5 * 4 + 5 = 25 dollars
7) If the number of hours is 6: Total cost = 6 * 4 + 5 = 29 dollars
8) If the number of hours is 7: Total cost = 7 * 4 + 5 = 33 dollars
9) If the number of hours is 8: Total cost = 8 * 4 + 5 = 37 dollars
10) If the number of hours is 9: Total cost = 9 * 4 + 5 = 41 dollars
From the analysis above, we can see that the range of the function would be {5, 9, 13, 17, 21, 25, 29, 33, 37, 41, ...}. Therefore, the range includes all possible total costs for the given pay for service internet company.