Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is $12/h. Indigo Research was billed $876.00 last month for 40 hours of access time. Using a system of equations, find the number of hours charged for usage during peak times.
Responses
A 16 hours16 hours
B 18 hours18 hours
C 22 hours22 hours
D 24 hours
Let's assume the number of hours charged for usage during peak times is x.
According to the given information, the cost of peak hours usage is $30 per hour. So the cost of peak hours usage would be 30x.
The total number of hours billed is 40, so the cost of off-peak hours usage would be 12(40 - x).
The total cost billed to Indigo Research last month was $876. So we can set up the following system of equations:
30x + 12(40 - x) = 876
Solving this equation will give us the value of x, which represents the number of hours charged for usage during peak times.
Let's solve the equation:
30x + 480 - 12x = 876
18x + 480 = 876
18x = 876 - 480
18x = 396
x = 396/18
x = 22
Therefore, the number of hours charged for usage during peak times is 22 hours.
The correct answer is C. 22 hours.