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aleksandr82 [10.1K]
2 years ago
15

The table below gives data from a linear function. find a formula for the function.

Mathematics
1 answer:
baherus [9]2 years ago
4 0
Given the following table that gives data from a linear function:

\begin {tabular}
{|c|c|c|c|}
Temperature, $y = f(x)$ (^\circ C)&0&5&20 \\ [1ex]
Temperature, $x$ (^\circ F)&32&41&68 \\ 
\end {tabular}

The formular for the function can be obtained by choosing two points from the table and using the formular for the equation of a straight line.

Recall that the equation of a straight line is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Using the points (32, 0) and (41, 5), we have:
\frac{y-0}{x-32} = \frac{5-0}{41-32}= \frac{5}{9}  \\  \\ \Rightarrow y=\frac{5}{9}(x-32)
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