Answer:
( x = 5 ), ( y = 80 ).
Step-by-step explanation:
If ( y ) is directly proportional to ( x ), we can use the formula for direct variation:
[ y = kx ]
where ( k ) is the constant of proportionality.
Given that ( y = 24 ) when ( x = 1.5 ), we can substitute these values to find ( k ):
[ 24 = k \times 1.5 ]
Solving for ( k ):
[ k = \frac{24}{1.5} = 16 ]
Now that we know ( k = 16 ), we can use this value to find ( y ) when ( x = 5 ):
[ y = 16 \times 5 = 80 ]
Therefore, when ( x = 5 ), ( y = 80 ).
