Question

Task:

Engineers are digging a 3200-foot-long tunnel at a constant rate. After 5 months, the engineers still need to dig 1700 feet to finish the project. How much time does it take to complete the tunnel from start to finish?

Will the engineers have enough time if the project was started in December 2020 and the deadline to finish the project was in August 2021? Please explain your answer for yes or no.

Hint:
y=mx+b (slope-intercept form)
x=time
y=distance
b=3200
Start & Finish: ??
Total length=3200ft

Answer 1

318 days or 10.6 months,

No, because the time between august and december is 8 months and it would take 10 to complete the tunnel

Explanation:

start by determining the slope:

subtract the remaining distance from the total distance to determine distance so far, then divide by time.

m = (3200 - 1700)/5

m = 1500/5

m = 300

y = mx + b

Plug in to solve for x.

3200 = 300x + 0

3200 = 300x

divide y by m. This is x. (this is known as inverse operation if you didnt know already.)

3200 = 300(10.6_)