Chapter MPS, Problem 2.5MPS

(a)

To determine

To Find: Equation for the given situation

Answer to Problem 2.5MPS

  $\left(3+\frac{g}{250}\right)=d$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Playing a game earns virtual dollar}=3\\ \text{For each }250\text{ points scored in game earns addition dollar}=1\\ \text{⇒}\text{Game score points}=g\\ \text{⇒}\text{Total Virtual dollar earned for a game}=d\end{array}$

Formula Used:

  $\text{Virtual dollar for game}+\text{Additional virtual}=\text{Total virtual dollar}$

Calculation:

  $\begin{array}{l}\text{⇒}\text{Game score points}=g\\ \text{⇒}\text{Total Virtual dollar earned for a game}=d\\ \text{⇒}\text{Virtual dollar for a game}=3\\ \text{⇒}\text{Additional virtual dollar earned}=\frac{\text{Game score points}}{250}=\frac{g}{250}\\ \text{using above value the equation for the given situation is : }\\ \text{→}\left(\text{Virtual dollar for game}+\text{Additional virtual}\right)=\text{Total virtual dollar}\\ \text{⇒}\left(3+\frac{g}{250}\right)=d\end{array}$

Conclusion:

Thus the equation for the given situation is $\left(3+\frac{g}{250}\right)=d$

(b)

To determine

To Find: Virtual dollar earned by Scott

Answer to Problem 2.5MPS

  $53\text{ Virtual dollar}$

Explanation of Solution

Given:

  $\begin{array}{l}\text{Playing a game earns virtual dollar}=3\\ \text{For each }250\text{ points scored in game earns addition dollar}=1\\ \text{⇒}\text{Game score points}=12500\end{array}$

Formula Used:

  $\text{Virtual dollar for game}+\text{Additional virtual}=\text{Total virtual dollar}$

Calculation:

  $\begin{array}{l}\text{⇒}\text{Game score points}=12500\\ \text{⇒}\text{Virtual dollar for a game}=3\\ \text{⇒}\text{Additional virtual dollar earned}=\frac{\text{Game score points}}{250}=\frac{12500}{250}=50\\ \text{using above value the equation for the given situation is : }\\ \text{→}\left(\text{Virtual dollar for game}+\text{Additional virtual}\right)=\text{Total virtual dollar}\\ \text{⇒}\left(3+50\right)=53\text{ Virtual dollar}\end{array}$

Conclusion:

Thus the virtual dollar earned by Scott is $53\text{ Virtual dollar}$