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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. But due to time constraints and environmental concerns, they later introduced a tunnel boring machine (TBM) to excavate the rest of the tunnel. The length y of the completed tunnel (in feet) is based on the number of days x since the TBM started working. The length can be calculated using the equation y = 25x + 225. What does the y-intercept represent in this scenario? the length of the tunnel completed after the TBM was introduced the length of the tunnel completed before the TBM was introduced the number of days on the construction project after the TBM was introduced the number of days on the construction project before the TBM was introduced

Respuesta :

y = 25x + 225

y = completed length in total

x = days since TBM introduced.

after day 1 of TBM introduction, we get y = 25(1) + 225

after day 2, we get a length of y = 25(2) + 225

after day 3, we get a length of y = 25(3) + 225

as the days go by, notice the 25x part is changing, but the 225 is just a constant there, adding itself.

if say the TBM machine can do say hmm 25 meters per day, so in 1 day it does 25(1) meters, in 2 it does 25(2) meters, in 3 it does 25(3) meters and so on.

so, the 225 added to what the TBM machine is doing, has to be what was already excavated BEFORE bringing in the TBM machine.  From there the TBM machine is adding to that amount.

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