Due to excessive heat, the water level in a dam decreased by 8.8 meters last month. Now, the water level is 95.3 meters. Which equation represents the water level, w, of the dam last month? What was the water level last month?(1 point)
Responses
w + 8.8 = 95.3; the water level of the dam last month was 86.5 meters.
w + 95.3 = 8.8; the water level of the dam last month was 104.1 meters.
w − 95.3 = 8.8; the water level of the dam last month was 86.5 meters.
w − 8.8 = 95.3; the water level of the dam last month was 104.1 meters.
The correct equation is w + 8.8 = 95.3. The water level of the dam last month was 86.5 meters.
To solve this problem, let's set up an equation using the given information.
Let w represent the water level of the dam last month.
We know that the water level in the dam decreased by 8.8 meters, so we can say:
w - 8.8 = 95.3
To find the value of w, we need to isolate it on one side of the equation.
Adding 8.8 to both sides of the equation, we get:
w - 8.8 + 8.8 = 95.3 + 8.8
This simplifies to:
w = 104.1
Therefore, the correct equation that represents the water level, w, of the dam last month is:
w - 8.8 = 95.3, and the water level of the dam last month was 104.1 meters.
So the correct response is:
w - 8.8 = 95.3; the water level of the dam last month was 104.1 meters.
To find the equation that represents the water level, w, of the dam last month, we need to consider the change in water level and the current water level.
The problem states that the water level decreased by 8.8 meters and the current water level is 95.3 meters.
From this information, we can set up the equation: w - 8.8 = 95.3.
Using basic algebra, we can solve for w:
w - 8.8 = 95.3
Add 8.8 to both sides:
w = 95.3 + 8.8
w = 104.1
So, the correct equation is w - 8.8 = 95.3, and the water level of the dam last month was 104.1 meters.
Therefore, the correct response is:
w - 8.8 = 95.3; the water level of the dam last month was 104.1 meters.