From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
Answer 8,050
Reason the absolute value of 8000 is 8000. The absolute value of negative 50 is 50. 8000+ 50= 8,050
Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.




Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
The answer for this is 3 and 4