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The cost of a car service is partly constant and partly varies with the time it takes to do the work. if cost 3500 naira 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. find the formula connecting c and t using the elimination method
2 answers
C = r t + k
3500 = 5.5 r + k
2900 = 4 r + k
subtracting equations (to eliminate k) ... 600 = 1.5 r ... r = 400
substitute back to find k (the constant costs)
3500 = 5.5 r + k
2900 = 4 r + k
subtracting equations (to eliminate k) ... 600 = 1.5 r ... r = 400
substitute back to find k (the constant costs)
1 answer