If y varies inversely as x and y=40 when x=5, then the constant is
1 answer:
The constant is 200.
Further explanation:
An inverse propertion states that if one quantity increases the other decreases and vice versa.
It can also be written as:
if y varies inversely with x
then
y∝1/x
y=k/x
When the proportionality symbol is removed, a proportionality constant is introduced
Given
y=40
x=5
Putting in equation
The constant is 200.
Keywords: Proportion, inverse proportion
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<h3><u>Explanation</u></h3>
- Modulus Function
The structure or equation is similar to a quadratic function.
The value of a determines the slope of graph.
Tthe value of h determines the horizontal shift of graph.
The value of k determines the vertical shift of the graph.
From the given equation,
We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).
<h3><u>Answer</u></h3><u></u>