10
QuizMultiple Choice

Rate of Change — Quiz

Question 10 • Algebra II

If y varies directly as x , and y is 18 when x is 5 , which expression can be used to find the value of y when x is 11 ?

Answer
A
y is equal to the fraction with numerator 18 times 5 and denominator 11
B
y is equal to the fraction with numerator 11 and denominator 18 times 5
C
y is equal to 18 fifths times 11
D
y is equal to 5 over 18 times 11

Explanation

Direct variation means y = kx, where k is a constant. Using y = 18 when x = 5 gives k = 18/5, so when x = 11, the expression is (18/5) × 11. This matches “18 fifths times 11,” choice C.

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