Question

The local river is 18 feet deep in most places. A tropical storm came through, with rain pounding the area for days. The river rose 18 foot per hour over the course of the last week. This can be modeled by the equation y=18x+18. Use this model to predict the depth of the river after it rained for 96 continuous hours.

Answer 1

1746 feet

Explanation:

1. Understanding the Equation: The equation y = 18x + 18 represents the relationship between the hours of continuous rain (x) and the increase in the river depth (y). The equation indicates that for every hour of continuous rain, the river depth increases by 18 feet.

2. Determining the Number of Hours: In this case, we want to predict the river depth after 96 continuous hours of rain. Therefore, we substitute x = 96 into the equation to find the value of y.

y = 18x + 18

y = 18(96) + 18

y = 1728 + 18

y = 1746

3. Interpreting the Result: The predicted depth of the river after 96 continuous hours of rain is 1746 feet.

Therefore, based on the given equation, we can predict that the depth of the river would be 1746 feet after 96 continuous hours of rain.