Question

Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7"?

A) 28 - y^2
B) 28y - 7
C) 28 - 7y
D) y^2 - 7

Answer 1

The phrase translates to the mathematical expression 'y^2 - 4', but the closest given option matching the meaning of the phrase is 'y^2 - 7', which is option D.The correct answer is D.

Step-by-step explanation:

The correct answer is D.

The phrase "the square of y decreased by the quotient of 28 and 7" represents an expression that involves subtracting the quotient of 28 and 7 from the square of y. The quotient of two numbers is found by dividing the first number by the second number. So, in this case, we're subtracting the result of dividing 28 by 7 from the square of y.

Let's write out the expression:

y^2 - (28 ÷ 7)

Simplify the expression by finding the quotient:

y^2 - 4 (since 28 ÷ 7 is equal to 4)

So, the expression is:

y^2 - 4