Question

Could you work out this question please ?

Answer 1

Answer:

R = 30

Step-by-step explanation:

Given y is directly proportional to R² then the equation relating them is

y = kR² ← k is the constant of proportion

To find k use the condition when R = 4, y = 24, then

24 = k × 4² = 16k ( divide both sides by 16 )

1.5 = k

y = 1.5R² ← equation of proportion

When y = 1350 , then

1350 = 1.5R² ( divide both sides by 1.5 )

900 = R² ( take the square root of both sides )

$\sqrt{900}$ = R , that is

R = 30