Answer:
z = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Given z is directly proportional to x and inversely proportional to y then the equation relating them is
z = [tex]\frac{kx}{y}[/tex] ← k is the constant of proportionality
To find k use the condition x = 7, y = 7 and z = 2
k = [tex]\frac{zy}{x}[/tex] = [tex]\frac{2(7)}{7}[/tex] = 2
z = [tex]\frac{2x}{y}[/tex] ← equation of proportionality
When x = 10 and y = 12, then
z = [tex]\frac{2(10)}{12}[/tex] = [tex]\frac{20}{12}[/tex] = [tex]\frac{5}{3}[/tex]
