The cost of a car service is partly constant and partly varies with the time it takes to do the work .if cost 3500 naria for a 5 1/2 hour service and 2900 naira for a 4 hour service. Find the formula connecting cost , naira C with time ,T hours, hence find the cost of a 7 1/2 hour service.
cost = mt + c, where t is the number of hours and c is your constant
given: whn t = 5.5, cost = 3500
3500 = 5.5m + c
given: when t = 4, cost = 2900
2900 = 4m + c
subtract those two equations,
600 = 1.5m
m = 400
sub back into 2900 = 4m + c
2900 = 1600 + c
c = 1300
now you have the complete cost equation
cost = 400t + 1300
sub in your other time and proceed
This was not helpful
what about c and t
What about a and b
what is the formula connecting c and t
How is m =400
To find the formula connecting cost (C) with time (T) hours, we need to analyze the information given about the cost of car services.
We know that the cost of a 5 1/2 hour service is 3500 naira and the cost of a 4-hour service is 2900 naira.
First, let's determine the constant part of the cost. To find this, we need to calculate the difference in cost between the two services.
Difference in cost = Cost of 5 1/2 hour service - Cost of 4-hour service
= 3500 naira - 2900 naira
= 600 naira
From the given information, it is clear that the difference in cost (600 naira) is the variable part of the cost. We also know that this variable cost is related to the time it takes to do the work.
Now, let's determine the variable cost per hour.
Variable cost per hour = Difference in cost / Difference in time
= 600 naira / (5 1/2 hours - 4 hours)
= 600 naira / (1 1/2 hours)
= 400 naira/hour
Therefore, we have found that the variable cost per hour is 400 naira.
Now we can determine the formula for connecting cost (C) with time (T) hours.
C = Constant part + Variable cost per hour * T
C = Constant part + 400 * T
Substituting the cost and time values from the given information, we can solve for the constant part of the cost.
3500 = Constant part + 400 * 5 1/2
3500 = Constant part + 400 * 11/2
3500 = Constant part + 400 * 5.5
3500 = Constant part + 2200
Constant part = 3500 - 2200
Constant part = 1300
Therefore, the formula connecting cost (C) with time (T) hours is C = 1300 + 400T.
Now, to find the cost of a 7 1/2 hour service, we substitute T = 7 1/2 into the above formula.
C = 1300 + 400 * 7 1/2
C = 1300 + 400 * 15/2
C = 1300 + 400 * 7.5
C = 1300 + 3000
C = 4300
Hence, the cost of a 7 1/2 hour service would be 4300 naira.
What about the answer to A and B
good
what abt the formula