Question

drag and drop the slope of each table in the white rectangles. not all choices will be used. slope and rate of change

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Calculate slope for table C

Let $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(0.5,7.5)$. Then $m=\frac{7.5 - 0}{0.5 - 0}=\frac{7.5}{0.5}=15$.

Step3: Calculate slope for table D

Let $(x_1,y_1)=(0,6)$ and $(x_2,y_2)=(2,7)$. Then $m=\frac{7 - 6}{2 - 0}=\frac{1}{2}$.

Step4: Calculate slope for table E

Let $(x_1,y_1)=(0,- 2)$ and $(x_2,y_2)=(5,-6)$. Then $m=\frac{-6+2}{5 - 0}=\frac{-4}{5}$.

Step5: Calculate slope for table F

Since $y = 3$ for all $x$ - values, $m=\frac{3 - 3}{1-0}=0$.

Answer:

Table C: 15
Table D: $\frac{1}{2}$
Table E: $-\frac{4}{5}$
Table F: 0