Question

The variable z is directly proportional to x. When x is 8, z has the value 48.

Answer 1

Answer:  The answer is:  " 66 " .

_________________________________________________

Step-by-step explanation:

_________________________________________________

  →    8/48 = 11/z ;   Solve for "z" ;

_________________________________________________

Note:  we can reduce the fraction value:  " 8/48" ; as follows:

  to make our calculations simpler:

_________________________________________________

"(8/48) =  " (8÷8) / (48÷8) "  =  " 1/6 " ;

Rewrite the equation/proportion— substituting:  "(1/6)"  for:  "(8/48)" :

"(1/6) = (11/z) " ;   Solve for "z" ;

→  "Cross-factor multiply:

→    1z = 11 * 6 ;  

→    1z = 66 ;

→   " z = 66 " .

_____________________________________________

The answer is:  " 66 " .

_____________________________________________

Answer 2

Answer:

z=66

Step-by-step explanation:

If z is proportional to x, it means that there is a common ratio between x and z. In this case, the ratio is 48/8 or 6. So when x is 11, z is 6 times greater, or 11*6 or 66.