Chapter 1.8, Problem 36PPE

To determine

To Match: The sentence “a number g to the third power is the same as the product of 24 and g pus 4” 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 36PPE

The required equation is $g^3=24g+4$ i.e. option C.

Explanation of Solution

Given information:

The sentence “a number g to the third power is the same as the product of 24 and g pus 4”.

Calculation:

g to the third power can be represented as:

  $g^3$

Is can be represented by “=”

Product of 24 and g plus 4 can be represented as:

  $24g+4$

So, the sentence “a number g to the third power is the same as the product of 24 and g pus 4” can be written as:

  $g^3=24g+4$

Thus the correct match is option C.