What is the answer, I've tried everything in my book but it's not helping?

Question

The cost function for a species of wild fish is estimated to be a function C(x) where x is the number of millions of pounds of this fish caught and C is the cost in millions of dollars. Two points on the graph are (x, C) = (2, 0.0538) and (x, C) = (8, 0.1474). Using this information and assuming a linear model, determine the cost function in millions of dollars for x millions of pounds of fish.

c(x)=???

Answer 1

The equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

The slope is m = (.0538-.1474)/(2-8) = (-.0936)/(-6) = .0156

The equation becomes y = .0156x + b.

To find b, we can use either point.

.0538 = .0156(2) + b

.0538 - .0312 = b

.0226 = b

Answer: c(x) = .0156x + .0226