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Question

There is currently 9 inches of snow on the ground. With the thunderstorms today the snow will melt at a rate of 1.5 inches per hour. 1. Write an equation to represent this situation 2. What do the slave and y-intercept mean 3. After how many hours would all the snow be melted 4. Make a table of this situation to show when all the snow would be melted

Answer

| Hours | Snow (inches) | | ------|-------------- | | 0 | 9 | | 1 | 7.5 | | 2 | 6 | | 3 | 4.5 | | 4 | 3 | | 5 | 1.5 | | 6 | 0 | All of the snow will be melted after 6 hours.

  • Q: Write an equation to represent this situation A: The equation to represent this situation would be y = -1.5x + 9, where y represents the amount of snow on the ground in inches and x represents the number of hours since the snow started melting.
  • Q: What do the slope and y-intercept mean? A: The slope of -1.5 means that the amount of snow on the ground is decreasing at a rate of 1.5 inches per hour. The y-intercept of 9 means that there were initially 9 inches of snow on the ground before the melting began.
  • Q: After how many hours would all the snow be melted? A: To find out at what time all of the snow will be melted, we can set y to zero and solve for x. 0 = -1.5x + 9 1.5x = 9 x = 6, which means that all of the snow will be melted after 6 hours.
  • Q: Make a table of this situation to show when all the snow would be melted. A: | Hours | Snow (inches) | 0 | 9 | 1 | 7.5 | 2 | 6 | 3 | 4.5 | 4 | 3 | 5 | 1.5 | 6 | 0 |