Answer :

Answer:

y = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given y is inversely proportional to x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 5 when x = 7, then

5 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )

35 = k

y = [tex]\frac{35}{x}[/tex] ← equation of variation

When x = 70, then

y = [tex]\frac{35}{70}[/tex] = [tex]\frac{1}{2}[/tex]