#### Answer

Equation: p=10m+175
you will have placed 675 pieces after 50 minutes.

#### Work Step by Step

First we know that 175 is the y intercept because that is the amount of pieces that we have already placed. Then we know that the slope is 10 because that is the amount of pieces you place each minute. So we can write the equation with m representing the number of minutes elapsed and p representing the number of pieces placed:
p=10m+175
We can solve for how many pieces you will have placed after 50 minutes by substituting 50 for m in the equation above:
p=10(50)+175 (Simplify)
p=500+175 (Simplify)
p=675
So you will have placed 675 pieces after 50 minutes.