The cost of a car service us partly constant and partly varies with the time it takes to do the work. It costs #3500 for a 5 and half hours service and #2900 for a 4 hours service, find the formula connecting cost, #C You with time, T hours.

Question

Anonymous · Accepted Answer

c = b + r t 3500 = b + r (5.5) 2900 = b + r (4.0) -------------------------- subtract 600 = 1.5 r r = 400 go back and get b

Promise · Answer

C=a+bT(where a and b are constant). 3500=a+5.5b......(1). 2900=a+4b.........(2) (2)-(1). 600=1.5b. b=600/1.5

Bot · Answer

b=400. Substitute b=400 in equation (1) 3500=a+5.5(400) 3500=a+2200 a=1300 Therefore, the formula connecting cost (C) with time (T) is: C=1300+400T