Question

look at the data tables below. which would most likely produce a nonlinear graph? table 1 time (seconds) 0 1 2 3 4 distance (meters) 0 5 10 15 20 table 2 time (seconds) 0 1 2 3 4 distance (meters) 10 8 6 4 2 table 3 time (seconds) 0 1 2 3 4 distance (meters) 30 20 30 25 30 table 4 time (seconds) 0 1 2 3 4 distance (meters) 2 2 2 2 2

Explanation:

Step1: Check for constant rate

For a linear graph, distance - time ratio is constant. In Table 1, $\frac{5}{1}=\frac{10}{2}=\frac{15}{3}=\frac{20}{4}=5$. In Table 2, $\frac{2}{1}=\frac{4}{2}=\frac{6}{3}=\frac{8}{4}=2$. In Table 4, distance is always 2. In Table 3, $\frac{20}{1}=20$, $\frac{30}{2} = 15$, $\frac{25}{3}
eq15$, $\frac{30}{4}
eq15$, rate is not constant.

Answer:

Table 3