Question

A farmer measured the quantity of water in a tank 10 days after it was filled and found it to be 2,000 gallons.After the next 5 days,it was measured again and found to contain 1,300 gallons.Assume that the amount of water in the tank decreases at a constant rate.Find the slope of the linear relation between L,the number of liters of water consumed,and t, the number of days after the tank was filled.:

A. -140 gallons/day
B. -70 gallons/day
C. -150 gallons/day
D. -100 gallons/day

Answer 1

To find the slope of the linear relation between the number of liters of water consumed and the number of days after the tank was filled, convert the measurements from gallons to liters and calculate the rate of change in liters per day.

Step-by-step explanation:

To find the slope of the linear relation between the number of liters of water consumed and the number of days after the tank was filled, we need to calculate the rate at which the water level is decreasing.

First, we need to convert the given measurements from gallons to liters. There are approximately 3.79 liters in 1 gallon.

So, after 10 days, the tank contains 2,000 gallons * 3.79 liters/gallon = 7,580 liters.

After the next 5 days, the tank contains 1,300 gallons * 3.79 liters/gallon = 4,927 liters.

The change in liters of water consumed is 7,580 liters - 4,927 liters = 2,653 liters.

The change in days is 10 days + 5 days = 15 days.

The slope, which is the rate of change, is the change in liters divided by the change in days:

Slope = 2,653 liters / 15 days = 176.87 liters/day.