Q:

The following table shows the number of feet a bird flies above the ground as a function of time: (In the picture)Find and interpret the meaning of the x-intercept in this scenario.A.) (21, 0); the time it takes for the bird to reach the groundB.) (14, 0); the time it takes the bird to reach its highest pointC.) (21, 0); the time it takes the bird to reach its highest pointD.) (14, 0); the time it takes for the bird to reach the ground

Accepted Solution

A:
Answer:   D.)  (14, 0); the time it takes for the bird to reach the groundStep-by-step explanation:The attached graph shows a plot of the table values and the two offered solution options.The dependent variable in this scenario is the bird's height above the ground. When that is zero, the bird is on the ground. This fact makes choices B and C seem ridiculous.We note from the table and graph that the bird is on a path that decreases in height by 3 feet every 2 seconds. If the bird continues that rate of descent, it will reach the ground after 14 seconds. That is, its (time, height) pair will be (14, 0), matching choice D._____Choosing any answer to this question requires making assumptions that are inconsistent with real-world bird behavior. At least, the problem statement should say what assumptions are applicable.