$$\begin{array} { | c | c | }
\hline x & y \
\hline 0 & 4 \
\hline 1 & 5 \
\hline 2 & 8 \
\hline 3 & 13 \
\hline 4 & 20 \
\hline
\end{array}$$
-In the above table,the relationship between x and y is ________ and,with y measured on the vertical axis,the slope between $y = 5$ and $y = 8$ is equal to ________.
A) negative; 8
B) negative; 6
C) positive; 5
D) positive; 3

Question

$$\begin{array} { | c | c | } 
\hline x & y \
\hline 0 & 4 \
\hline 1 & 5 \
\hline 2 & 8 \
\hline 3 & 13 \
\hline 4 & 20 \
\hline
\end{array}$$
-In the above table,the relationship between x and y is ________ and,with y measured on the vertical axis,the slope between $y = 5$ and $y = 8$ is equal to ________.
A) negative; 8
B) negative; 6
C) positive; 5
D) positive; 3

Quizplus · Accepted Answer

From the table, we can observe that the values of y are increasing as x increases, indicating a positive relationship between x and y. 
To find the slope between $y= 5$ and $y= 8$, we need to find two corresponding values of x. From the table, the corresponding values are $x = 1$ when $y = 5$, and $x = 2$ when $y = 8$. Thus, the slope is 
$$\frac{\Delta y}{\Delta x} = \frac{8-5}{2-1} = 3.$$
Therefore, the answer is D.

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$\begin{array} { | c | c | } \hline x & y \\\hline 0 & 4 \\\hline 1 & 5 \\\hline 2 & 8 \\\hline 3 & 13 \\\hline 4 & 20 \\\hline\end{array}$