Question

suppose that y is inversely proportional to x, and that y = 0.4 when x=2.5 find y when x=0.4
​

Answer 1

Step-by-step explanation:

Suppose that y is inversely proportional to x, and that y = 0.4 when x = 2.5. Find y when x = 4.

Translating the above from the English into algebra, I see the key-phrase "inversely proportional to", which means "varies indirectly as". In practical terms, it means that the variable part that does the varying is going to be in the denominator. So I get the formula:

\small{y = \dfrac{k}{x} }y=

x

k

Plugging in the data point they gave me, I can solve for the value of k:

\small{y = \dfrac{k}{x}}y=

x

k

\small{0.4 = \dfrac{k}{2.5}}0.4=

2.5

k

\small{(0.4)(2.5) = k}(0.4)(2.5)=k

\small{1 = k}1=k

Now that I have found the value of the variation constant, I can plug in the x-value they gave me, and find the value of y when x = 4:

\small{y = \dfrac{1}{x}}y=

x

1

\small{y = \dfrac{1}{4}}y=

4

1

Then my answer is:

\small{\mathbf{\color{purple}{ \mathit{y} = \dfrac{1}{4} }}}y=

4

1

please make me brainylist

please follow me

Answer 2

Step-by-step explanation:

find the constant of the proportionality