4
QuizMultiple Choice

Rate of Change — Quiz

Question 4 • Algebra II

The average rate of change of g of x between x is equal to 4 and x is equal to 7 is 5 sixths Which statement must be true?

Answer
A
the fraction with numerator g of 7 minus g of 4 and denominator 7 minus 4 is equal to 5 sixths
B
g of 7 minus g of 4 is equal to 5 sixths
C
the fraction with numerator g of open paren 7 minus 4 close paren and denominator 7 minus 4 is equal to 5 sixths
D
g of 7 over g of 4 is equal to 5 sixths

Explanation

The average rate of change of g from x = 4 to x = 7 is [g(7) − g(4)] ÷ (7 − 4). Therefore, that fraction must equal 5/6, which is exactly the statement in choice A. The other choices either omit the change in x or use a different expression.

AI-written and checked against the verified answer.

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