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.

Answer 1

p = peak hours

o = off-peak hours

last month for 40 hours of access time means:

p + o = 40

Indigo Research was billed $876.00 means:

p • 30 + 12 • o = 876

Sstem of equations is:

p + o = 40

30 p + 12 o = 876

Try to solve this system of equations.

The solution is:

p = 22 , o = 18

Check result:

p + o = 22 + 18 = 40 hours

30 p + 12 o = 30 • 22 + 12 • 18 =

660 + 216 = $876