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 During a construction project, engineers used explosives to excavate 140 feet of tunnel into a mountain. But because of time constraints and environmental concerns, they brought in a tunnel boring machine (TBM) to excavate the rest of the tunnel. The data table lists some observations an engineer made about the length of the tunnel after the TBM was introduced. Which equation represents the length of the completed tunnel based on the number of days since TBM was introduced?                                                                                                       a) y = 45x + 140 b)y = 405x + 140 c)y = 68.33x + 140 d)y = 25x + 140

 

TBM Use (days) Tunnel Length (feet)   

6                         410

15                       815

20                       1,040

28                      1,400

33                      1,625

38                      1,850

45                      2,165

 Jul 14, 2015

Best Answer 

 #1
avatar+33615 
+5

When x = 6, y = 410, so if y = m*x + 140 then 410 = m*6 + 140 

 

Rearrange this to find m:  m = (410 - 140)/6  or m = 45

 

Hence a) is the equation.

.

 Jul 14, 2015
 #1
avatar+33615 
+5
Best Answer

When x = 6, y = 410, so if y = m*x + 140 then 410 = m*6 + 140 

 

Rearrange this to find m:  m = (410 - 140)/6  or m = 45

 

Hence a) is the equation.

.

Alan Jul 14, 2015

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