SAT Mathematics Practice Test 4

The graph of $\mathit{y}=\mathit{a}{\mathit{x}}^{\mathit{b}},$ where a is positive and b is negative, has a positive y-intercept and rapidly decreases (in particular, decreases at a faster rate than a linear function) toward the x-axis as x increases. Of the scatterplots shown, only the one in choice B would be appropriately modeled by such a function.
Choice A is incorrect, as this scatterplot is appropriately modeled by a linear function. Choice C is incorrect, as this scatterplot is appropriately modeled by an increasing function. Choice D is incorrect, as this scatterplot shows no clear relationship between x and y.