Y-17= -37 what is the answer
2 answers:
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Answer: (a) The slope of the line is 5 and the y-intercept is (0,10). (b) The rate of change is 5 and the initial amount is 10.
Explanation:
The given equation is,
.... (1)
(a)
The slope intercept form of the a line is,
.... (2)
Where, m is slope and (0,b) is y-intercept.
On comparing (1) and (2) we get,
Therefore, the slope is 5 and the y-intercept is (0,10).
(b)
The rate of change is also known as slope therefore the rate of change is 5.
To find the initial amount put x=0 in the given equation.
Therefore, the initial value is 10.
The rate of change represents the number of baskets of berries the workers picked increased by 5 units per unit of time.
The initial amount shows the number of baskets of berries the workers picked before the workers starts harvesting.
(c)The graph is shown below.
Since x represents the time in hours, therefore x is always greater that or equal to 0.
The cistern is losing approximately 3.963 gallons of water per hour.
<u><em>Explanation</em></u>
A cistern is leaking 0.25 liters of water per minute.
<u>We know, 1 gallon = 3.785 liters</u>
So, 0.25 liters = gallons
That means, the cistern is losing 0.06605....gallons of water per minute.
So, the amount of water losing in 1 hour or 60 minutes <em>(Approximately)</em>