john drops a probe into a lake. the elevation of the probe changes by -1 1/2 feet every second. the probe takes 50 seconds to reach the bottom of the lake. how deep is the lake show your work

The lake is 75 ft deep

Step-by-step explanation:

Here , we want to get the depth of the lake

mathematically, we can have this as the rate at which the elevation of the probe changes multiplied by the time it took the probe to reach the bottom of the lake

That would be;

3/2 * 50 = 75 feet

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.