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velikii [3]
3 years ago
9

Given the following table, find the rate of change between 1-4) and 10).

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

  • 1/2

Step-by-step explanation:

<u>As per given table there are pairs:</u>

  • (-4, -2), (-2, -1), (0, 0), (2, 1), (4, 2)

<u>This is line passing through the origin and the equation is:</u>

  • f(x) = 1/2x

Rate of change is the slope 1/2, which is same over any interval

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\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

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