Chapter 8, Problem 1PFA

To determine

To model the given relationship

Answer to Problem 1PFA

  $\frac{2}{3}x+16=24x-(x+10)$

Explanation of Solution

Given:

Two thirds of x plus 16 is as much as 24 times x minus the quantity x plus 10.

Calculation:

Given that two thirds of x plus 16 is as much as 24 times x minus the quantity x plus 10.

Thus,

Two thirds of x can be modelled as,

  $\Rightarrow \frac{2}{3}x$

Two thirds of x plus 16 is modelled as,

  $\Rightarrow \frac{2}{3}x+16$

As much as is a term that is used for equivalent.

Therefore, the above expression is equivalent to

24 times x minus the quantity x + 10.

Hence,

  $\frac{2}{3}x+16=24x-(x+10)$

Conclusion:

Therefore, the given relationship can be modelled as $\frac{2}{3}x+16=24x-(x+10).$