y is directly proportional to the square of x. given that y = 50 when x = 5, find the value of y when x = 3​

y = 18

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = 50 when x = 5

50 = k × 5² = 25k ( divide both sides by 25 )

2 = k

y = 2x² ← equation of proportion

When x = 3 , then

y = 2 × 3² = 2 × 9 = 18

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

step-by-step explanation: