A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water leve
Mathematics
martinez3020
Question
A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water level of 10 ft. It begins to rise by a constant rate of 1.5 ft per hour.
Will the river reach a level of 7 ft above normal after 5 hours? Explain.
Will the river reach a level of 7 ft above normal after 5 hours? Explain.
1 Answer

1. User Answers raphealnwobi
The river will not reach a level of 7 ft. after 5 hours.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the height of the water level after x hours.
Since the river is 1 ft below its average water level and begins to rise by a constant rate of 1.5 ft per hour. Hence:
b = 1, m = 1.5. The equation becomes:
y = 1.5x  1
To reach a level of 7 ft. That is y = 7:
7 = 1.5x  1
1.5x = 8
x = 5.3 hours
The river will not reach a level of 7 ft. after 5 hours.
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