Answer :
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given that z is inversely proportional to x then the equation relating them is
z = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion
To find k use the condition z = 5 when x = 7 , then
5 = [tex]\frac{k}{7}[/tex] ( multiply both sides by 7 )
35 = k
z = [tex]\frac{35}{x}[/tex] ← equation of proportion
When z = 70 , then
70 = [tex]\frac{35}{x}[/tex] ( multiply both sides by x )
70x = 35 ( divide both sides by 70 )
x = [tex]\frac{35}{70}[/tex] = [tex]\frac{1}{2}[/tex]