Chapter 1.8, Problem 38PPE

To determine

To Match: The sentence “the product of 3 and the square of g equals the sum of thirty and the product of nine and g” with an equation.

A) $g^2=2\left(g-10\right)$

B) $\frac{1}{2}g+32=15+6g$

C) $g^3=24g+4$

D) $3g^2=30+9g$

Answer to Problem 38PPE

The required equation is $3g^2=30+9g$ i.e. option D.

Explanation of Solution

Given information:

The sentence “the product of 3 and the square of g equals the sum of thirty and the product of nine and g”.

Calculation:

The square of g can be represented as:

  $g^2$

The product of 3 and the square of g can b represented as:

  $3g^2$

The product of nine and g can be represented as:

  $9g$

The sum of thirty and the product of nine and g can be represented as:

  $30+9g$

S, the sentence “the product of 3 and the square of g equals the sum of thirty and the product of nine and g” can be written as:

  $3g^2=30+9g$

Thus the correct match is option D.