Question

Y varies directly with x. if y =75 when x =25, find x when y=25

Answer 1

x = 8.33

Step-by-step explanation:

y varies directly with x if y can be calculated as a constant k times x. So:

y = k*x

If y is equal to 75 and x is equal to 25, we can calculate the value of k as:

`\begin{gathered} 75=k\cdot25 \\ (75)/(25)=(k\cdot25)/(25) \\ 3=k \end{gathered}`

Therefore, y = 3*x

So, to find x when y = 25, we need to replace y by 25 and solve for x as follows:

`\begin{gathered} 25=3\cdot x \\ (25)/(3)=(3\cdot x)/(3) \\ 8.33=x \end{gathered}`

Therefore, x is equal to 8.33