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An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).
Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).
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Given:
The total price of apples (y) at an orchard can be calculated with the equation
where, x is the number of pounds of apples picked.
To find:
The interpretation of slope for the given situation.
Solution:
The slope intercept form is
...(i)
where, m is slope and b is y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope = 1.25.
We know that, y is total price of x pounds of apples picked and slope is change in y with respect to x.
Therefore, the slope of the given equation is 1.25 and it means the price increased by 1.25 for each additional pounds of apples.