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5 votes
The water level in a tank measures 15

inches and is decreasing 0.5
inches every minute.

How many minutes, x
, will it take for the water level to measure 9
inches deep?


Write the equation that represents the situation.??

User Richyen
by
8.4k points

1 Answer

7 votes

To represent this situation algebraically, we can use the formula:

y = mx + b

where y represents the water level in inches, x represents the time in minutes, m represents the rate of change (decrease) in inches per minute, and b represents the initial water level in inches.

We know that the initial water level is 15 inches, and it is decreasing at a rate of 0.5 inches every minute. Therefore, we can write the equation as:

y = -0.5x + 15

where y is the water level in inches and x is the time in minutes.

To find how long it will take for the water level to measure 9 inches deep, we can substitute y = 9 into the equation and solve for x:

9 = -0.5x + 15

Subtracting 15 from both sides, we get:

-6 = -0.5x

Dividing both sides by -0.5, we get:

x = 12

Therefore, it will take 12 minutes for the water level to measure 9 inches deep.

User Asyadiqin
by
8.3k points

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