A custodian went to buy x boxes of cleaning supplies and y boxes of light bulbs. He had the back of a van to transport them. Giv
en a maximum amount that he could spend, and a limited space to put the supplies in, the following system of inequalities and graph represent the constraints.
LOOK AT SCREENSHOT FOR THE GRAPH
Which of the following points represent real solutions for this situation? Select all that apply.
(0, 40)
(30, 20)
(37.5, 15)
(50, 5)
LOOK AT SCREENSHOT FOR THE GRAPH
Which of the following points represent real solutions for this situation? Select all that apply.
(0, 40)
(30, 20)
(37.5, 15)
(50, 5)
2 answers:
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Answer:
(a) As time increases, the amount of water in the pool increases.
11 gallons per minute
(b) 65 gallons
Step-by-step explanation:
From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.
We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.
The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).
Choose 2 ordered pairs from the table:
Input these into the slope formula:
Therefore, the rate at which the water in the pool is increasing is:
<u>11 gallons per minute</u>
To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:
When Ann had added no water, x = 0. Therefore,
So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.