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dezoksy [38]
3 years ago
9

Ashley is at the top of a mountain that is 2,400 feet. She hikes down to the bottom of the mountain in 8 hours. If she hiked at

the same rate the whole time how many
feet did she hike down the first hour?
Mathematics
1 answer:
shusha [124]3 years ago
6 0

Answer:

300 ft in one hour.

Step-by-step explanation:

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\bf \begin{array}{ccccccccc}&#10;&&\stackrel{students}{x_1}&&\stackrel{price}{y_1}&&\stackrel{students}{x_2}&&\stackrel{price}{y_2}\\&#10;%  (a,b)&#10;&&(~{{ 10}} &,&{{ 107}}~) &#10;%  (c,d)&#10;&&(~{{ 15}} &,&{{ 137}}~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}\implies &#10;\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{137-107}{15-10}\implies \cfrac{30}{5}\implies \cfrac{6}{1}\implies 6

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-107=6(x-10)&#10;\\\\\\&#10;y-107=6x-60&#10;\implies &#10;y=6x+47\\\\&#10;-------------------------------\\\\&#10;\textit{how much will it be for }\stackrel{x}{12~students?}\qquad y=6(12)+47
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