Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{36}{30}[/tex] = [tex]\frac{6}{5}[/tex]
y = [tex]\frac{6}{5}[/tex] x ← equation of proportionality
When x = 40 then
y = [tex]\frac{6}{5}[/tex] × 40 = 48
