Let's assume that the constant part of the cost is represented by C naira and the variable part is represented by V naira per hour. We can use this information to set up two equations:
For the 5.5 hours service:
C + 5.5V = 9400
For the 4 hours service:
C + 4V = 8200
To find the formula connecting cost (C) with time (T) hours, we need to solve these equations simultaneously. First, let's solve for C in terms of V in both equations.
From the first equation:
C = 9400 - 5.5V
From the second equation:
C = 8200 - 4V
Since both equations equal C, we can set them equal to each other to get:
9400 - 5.5V = 8200 - 4V
Now, let's solve for V:
9400 - 8200 = 5.5V - 4V
1200 = 1.5V
V = 1200/1.5
V = 800
Now that we have the value of V, we can substitute it back into either of the original equations to solve for C. Let's use the first equation:
C + 5.5V = 9400
C + 5.5(800) = 9400
C + 4400 = 9400
C = 9400 - 4400
C = 5000
Therefore, the formula connecting cost (C) with time (T) hours is:
C = 5000 + 800T
To find the cost of a 7.5-hour service, we can plug T = 7.5 into the formula:
C = 5000 + 800(7.5)
C = 5000 + 6000
C = 11000
The cost of a 7.5-hour service is 11,000 naira.
The cost of a car service is partly constant and partly varies with the time it takes to do the work.it cost 9400 naira for a 5.5 hours service and 8200 naira for a 4 hours service.find the formula connecting cost,naira c with time T hours.and find the cost of a 7.5 services.
1 answer
1 answer