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

Question

𝑤
, of the dam last month? What was the water level last month?(1 point)
Responses

w − 95.3 = 8.8
𝑤

−

95.3

=

8.8
; the water level of the dam last month was 86.5 meters.
w minus 95.3 equals 8.8 ; the water level of the dam last month was 86.5 meters.

w − 8.8 = 95.3
𝑤

−

8.8

=

95.3
; the water level of the dam last month was 104.1 meters.
w minus 8.8 equals 95.3 ; the water level of the dam last month was 104.1 meters.

w + 95.3 = 8.8
𝑤

+

95.3

=

8.8
; the water level of the dam last month was 104.1 meters.
w plus 95.3 equals 8.8 ; the water level of the dam last month was 104.1 meters.

w + 8.8 = 95.3
𝑤

+

8.8

=

95.3
; the water level of the dam last month was 86.5 meters....................

Answer 1

To determine the correct equation representing the water level of the dam last month and to calculate that water level, we need to consider the information given:

• The water level now is 95.3 meters.
• The water level decreased by 8.8 meters last month.

We can express the relationship between the water level last month (let's call it \( w \)) and the current water level:

\[ w - 8.8 = 95.3 \]

This reflects that if you take the water level last month and subtract the decrease of 8.8 meters, you arrive at the current water level of 95.3 meters.

To solve for \( w \):

\[ w = 95.3 + 8.8 \]

Calculating that:

\[ w = 104.1 \]

So, the equation that represents the water level of the dam last month is:

\[ w - 8.8 = 95.3 \]

And the water level last month was 104.1 meters.

Thus, the correct response is:

\[ w - 8.8 = 95.3; \text{ the water level of the dam last month was 104.1 meters.} \]