Answer
a. To sketch a graph of x, plug in values of x for the function f(x) = 200 + 32x (plug in 0,1,2,3...) and plot the points on a coordinate grid.
b. The slope of the graph is 32.
c. The amount of ore produced is changing at a rate of 32,000 tons per year.
Work Step by Step
a. See above.
b. In this function f(x) = 200+32x, 32 is the a value = slope, so the slope of the function is 32.
c. Slope = rate of change = how much something increases/decreases per year. The slope represents the change in the y-value (in this case, in the number of thousands of tons of ore produced) for a single change of the x value (a year). So, the amount of ore produced is changing at a rate of 32,000 tons per year
