Here, f(x) is measured in kilograms per 4,000 square meters, and x is measured in hundreds of aphids per bean stem. By computing the slopes of the respective tangent lines, estimate the rate of change of the crop yield with respect to the density of aphids when that density is 200 aphids per bean stem and when it is 800 aphids per bean stem. 200 aphids per bean stem 1 kg per 4,000 m2 per aphid per bean stem 800 aphids per bean stem 2 kg per 4,000 m2 per aphid per bean stem

The slope of the tangent line at density 200 is -1.67kg/bean stem

Step-by-step explanation: The attached graph file shows the relationship between the yield of a certain crop f(×) as a function of the density of aphid x.

The second attached file shows the solution.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.