**y = -8x + 4300**
**y = 1900**
To write an equation in slope-intercept form that models the amount of grain in the silo, we can use the following equation:
**y = mx + b**
Where:
- y represents the amount of grain remaining in the silo (in cubic meters)
- x represents the time elapsed (in minutes)
- m represents the rate at which the grain is being pumped out of the silo (in cubic meters per minute)
- b represents the initial amount of grain in the silo (in cubic meters)
Given that the rate at which the grain is being pumped out is 8 cubic meters per minute and the initial amount of grain in the silo is 4300 cubic meters, the equation becomes:
**y = -8x + 4300**
To find how many cubic meters of grain remain in the silo after 5 hours (which is equivalent to 300 minutes), we substitute x = 300 into the equation:
**y = -8(300) + 4300**
Simplifying the expression:
**y = -2400 + 4300**
**y = 1900**
Therefore, after 5 hours (300 minutes), there are 1900 cubic meters of grain remaining in the silo.