Question

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

What is the value of z when x = 11?

Answer 1

Answer: The answer is: " 66 " .

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Explanation:

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→ 8/48 = 11/z ; Solve for "z" ;

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

to make our calculations simpler:

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"(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 " .

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The answer is: " 66 " .

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Answer 2

z=66

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.