Use the table to estimate the rate of change of y at the specified value of x.
-$x= 1$.
$\begin{array}{c|c}
x & y \
\hline .900 & -0.05263 \
1.990 & -0.00503 \
1.999 & -0.0005 \
.000 & 0.0000 \
.001 & 0.0005 \
.010 & 0.00498 \
.100 & 0.04762
\end{array}$

A) $- 0.5$
B) $0.5$
C) 0
D) 1

Question

Use the table to estimate the rate of change of y at the specified value of x.
-$x= 1$.
$\begin{array}{c|c}
x & y \
\hline .900 & -0.05263 \
1.990 & -0.00503 \
1.999 & -0.0005 \
.000 & 0.0000 \
.001 & 0.0005 \
.010 & 0.00498 \
.100 & 0.04762
\end{array}$

A) $- 0.5$
B) $0.5$
C) 0
D) 1

Quizplus · Accepted Answer

The rate of change of y at x=1 is approximately 0.5. This can be estimated by finding the slope of the line connecting the points (0.990, -0.05263) and (1.990, -0.00503). The slope of this line is approximately 0.5.

Use the Table to Estimate the Rate of Change of Y