Question

1. this table shows a linear relationship between the amount of water in a container and time.

which of these statements is true?
the water in the container is:
a. increasing at 2 gallons per minute.
b. increasing at 10 gallons per minute.
c. decreasing at 2 gallons per minute.
d. decreasing at 10 gallons per minute.

time (min)

water (gal)

----

----

0

30

5

20

10

10

Explanation:

Step1: Calculate water change (0-5 min)

$\text{Change in water} = 20 - 30 = -10$ gallons
$\text{Rate} = \frac{-10}{5-0} = -2$ gallons per minute

Step2: Verify with 5-10 min data

$\text{Change in water} = 10 - 20 = -10$ gallons
$\text{Rate} = \frac{-10}{10-5} = -2$ gallons per minute

Step3: Interpret negative rate

Negative rate means water is decreasing.

Answer:

C. Decreasing at 2 gallons per minute.