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Algebra
Pregunta

22. A geologist measures the temperature \( T ( \)...

22. A geologist measures the temperature \( T ( \) in \( { } ^ { \circ } C ) \) of the soil at various depths below the sur- face and finds that at a depth of \( x cm \) , the temperature is given by \( T = 0.08 x - 4 \) .

(a) What is the temperature at a depth of \( 1 m ( 100 cm ) \) ? 

(b) Sketch a graph of the linear equation. 

(c) What do the slope, the \( x \) -intercept, and \( T \) -intercept of the graph represent? 

Answer

 

\(\left. \begin{array} { l } { \text { 22. (a) } 4 ^ { \circ } C \text { (b) } } \\ { \text { (c) The slope represents an increase of } 0.08 ^ { \circ } C \text { for each } } \\ { \text { one- centimeter increase in depth, the } x \text { - intercept is the depth } } \\ { \text { at which the temperature is } 0 ^ { \circ } C \text { , and the } T \text { - intercept is the } } \\ { \text { temperature at ground level. } } \end{array} \right.\)

Solución
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