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
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.

How much of the tunnel was completed 26 days after the TBM was introduced?
A.
1,170 feet
B.
1,310 feet
C.
1,260 feet
D.
1,400 feet

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abiolataiwo2015 abiolataiwo2015 · Answer 1 · 2022-08-16T22:03:19+02:00

The amount of the tunnel that was completed 26 days after the TBM was introduced is: B. 1,310 feet.

First step is to find the slope

Slope = (815 - 410) / (15 - 6)

Slope= 405/9

Slope = 45

Second step is to find the equation

y = mx + b

When x = 6, y = 410

410 = 45(6) + b

410 = 270 + b

410 - 270 = b

b=410-270

b=140

Equation:

y = mx + b

y = 45x + 140

Third step is to find the tunnel completed

y = mx + b

Where y = mx + b, x=26 days

y = 45x + 140

y = 45(26) + 140

y = 1170 + 140

y = 1310 feet

Therefore the tunnel that was completed 26 days after the TBM was introduced is: B. 1,310 feet.

Learn more about slope here:https://brainly.com/question/3493733

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