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An oil drilling company is drilling a hole. The elevation of the bottom of the hole changes by feet each day. After a certain number of days, the bottom of the hole is at an elevation of feet. Which equation can be used to find x, the number of days they drilled?

An oil drilling company is drilling a hole The elevation of the bottom of the hole changes by feet each day After a certain number of days the bottom of the hol class=

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Answer:

option.D

Step-by-step explanation:

  • each day it changes by [tex]-73\frac{1}{4}[/tex]
  • so for two days , the elevation becomes  [tex]-73\frac{1}{4}[/tex] +  [tex]-73\frac{1}{4}[/tex]
  • for 3 days :  [tex]-73\frac{1}{4}[/tex] +  [tex]-73\frac{1}{4}[/tex] +  [tex]-73\frac{1}{4}[/tex]
  • so, for n days,  [tex]-73\frac{1}{4}[/tex] + ........ n times

=  n*[tex]-73\frac{1}{4}[/tex]

  • therefore, for x days, elevation = x*[tex]-73\frac{1}{4}[/tex]
  • as it is given that after certain days this elevation has reached [tex]-366\frac{1}{4}[/tex]
  • so, x*[tex]-73\frac{1}{4}[/tex] = [tex]-366\frac{1}{4}[/tex]

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