Question

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was watering can be represented by a linear function and is shown in the graph below. Which statement is correct?

Answer 1

Option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.

Explanation:

Given is the graph of Amount of water (in gallons) v/s Time (in seconds).

It is a linear graph whose general equation is given as follows:-

y=mx+b.

Where y = Amount of water, x = Time, m = slope, b = y-intercept (when time is zero).

Finding slope of line, m = (2.3 - 2.5)/(1 - 0) = -0.2 gallons per second.

Finding y-intercept of line, b = 2.5 gallons (at t=0).

Hence, option B is correct, i.e. The amount of water originally in Wilson's can was 2.5 gallons.