Question

A water tank is being filled with water. before water is pumped in, the water level in the tank is 15 inches high. After 20 minutes, the water level is 57 inches high.
If t represents the time in minutes and h represents the water level, which of the following equations can be used to model this situation?
A. h = 2.1t + 15
B. h = 15t + 2.1
C. h = 42 + 15t
D. h = 2.1t - 15

Answers

Answered by GPT 3.5
The initial water level is 15 inches and after 20 minutes it is 57 inches high.

We need to determine the equation that represents the relationship between the time (t) and the water level (h).

To do this, we can use the slope-intercept form of a linear equation, which is given by h = mt + b, where m is the slope and b is the y-intercept.

The slope of the equation represents the rate at which the water level is changing over time.

We can find the slope by taking the difference in the water levels and dividing it by the difference in time:

slope = (57 - 15) / (20 - 0) = 42 / 20 = 2.1

Therefore, the slope (m) in the equation will be 2.1.

Now, we need to determine the y-intercept (b), which is the initial water level.

From the given information, we know that the initial water level is 15 inches.

Therefore, the y-intercept (b) will be 15.

Putting it all together, the equation that represents this situation is:

h = 2.1t + 15

So, the correct answer is A. h = 2.1t + 15.

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