Chapter 14.2, Problem 3CYP

(a)

To determine

To find: The expression that represents the amount of excess earns on Mondaythanamount ofearns on Tuesday by Kay.

Answer to Problem 3CYP

Theexpressionthatrepresents the amount of excess earns on Monday than amount of earns on Tuesday by Kay is $2x-3$ .

Explanation of Solution

Given information:

Kay’s earning on Mondayis $9x$ and on Tuesday is $7x+3$ .

Here, $x$ represents the number of hours.

Calculation:

Subtract the earning $7x+3$ of Tuesdayfromthe earning $9x$ of Mondayto obtain the expression that represents the amount of excess earns on Monday than amount of earns on Tuesday by Kay.

  $\begin{array}{c}9x-\left(7x+3\right)=9x-7x-3\\ =2x-3\end{array}$

Therefore, the expressionthatrepresents the amount of excess earns on Monday than amount of earns on Tuesday by Kay is $2x-3$ dollars.

Conclusion:

Thus,the expressionthatrepresents the amount of excess earns on Monday than amount of earns on Tuesday by Kay is $2x-3$ .

(b)

To determine

To find: The amount of excess earns on Monday by Kay,ifKay works 5 hours each day.

Answer to Problem 3CYP

The amount of excess earns on Monday by Kay, if Kay works 5 hours each day is $7$ dollars.

Explanation of Solution

Given information:

Kay’s earning on Monday is $9x$ and on Tuesday is $7x+3$ .

Here, $x$ represents the number of hours.

The working hours is 5 hours each day.

Calculation:

It is given thatthe working hours is 5 hours each day.

Substitute $5$ for $x$ in the obtained expression $2x-3$ from part (a) to obtain the amount of excess earns on Monday by Kay, if Kay works 5 hours each day.

  $\begin{array}{c}2\left(5\right)-3=10-3\\ =7\end{array}$

Therefore,the amount of excess earns on Monday by Kay, if Kay works 5 hours each day is $7$ dollars.

Conclusion:

Thus, the amount of excess earns on Monday by Kay, if Kay works 5 hours each day is $7$ dollars.