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

Sagot :

Answer:

x = 8.33

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:

[tex]\begin{gathered} 75=k\cdot25 \\ \frac{75}{25}=\frac{k\cdot25}{25} \\ 3=k \end{gathered}[/tex]

Therefore, y = 3*x

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

[tex]\begin{gathered} 25=3\cdot x \\ \frac{25}{3}=\frac{3\cdot x}{3} \\ 8.33=x \end{gathered}[/tex]

Therefore, x is equal to 8.33