Problema Solution
The relation between the cost of a certain gem and its weight is linear. In looking at two gems, we find that one of the gems weighs 0.2 carat and cost $3542, while the other gem weighs 0.6 carat and cost $4372. Find the linear function
Answer provided by our tutors
we have two points: (0.2, 3452) and (0.6, 4372)
slope = (3452-4372)/(0.2-0.6 = 2300
equation of the line:
y-3452 = 2300(x-0.2)
y = 2300x + 2992
the linear function for cost of a given gem of 'x' carats is:
cost = 2300x + 2992