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SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given function
STEP 2: Plot the given function
STEP 3: choose the correct graph
It can be seen from the plotted graph in step 2 that:
Hence, comparing the x-intercepts, the correct graph is seen in:
We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.
Further we know that there are 34 species at 11°s and 26 species at 44°s.
We can express the given information at two ordered pairs as shown below:
Let us find slope of the line through these points:
Therefore, we can write the equation of line in slope intercept form as:
Where b is the y intercept, and we can find its value using one of the two points.
Therefore, the required equation of the linear function is: