Constant of proportionality
2 answers:
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Answer:
the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center
the parabola starts at (0,0) that is (x,y)
subtract 25 from both sides
divide both sides by 2500
the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60
y=24
the height of the arch 10 feet from the center is 24 feet
<h2>Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation
is the cost per pound.
- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
From the equation we can determine as:
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).