Chapter 14.3, Problem 3GP

i.

To determine

To write an expression for how much more she earned on Monday

Answer to Problem 3GP

She earns $2x-3$ more on Monday

Explanation of Solution

Given:On Mondays Kay earns $9x$ , for working “ $x$ ” hours.

On Tuesday she earns $7x+3$ , for working “ $x$ ” hours.

Concept Used:Polynomial subtraction

Calculation:

How much more she earns on Monday= Salary of Monday- Salary of Tuesday

Substituting the expressions,

  $9x-(7x+3)$

Re-arranging the values,

  $\begin{array}{l}9x-7x-3\\ 2x-3\end{array}$

Conclusion:She earns $2x-3$ more on Monday

ii.

To determine

How much more she earned on Monday, if she works 5 hours a day

Answer to Problem 3GP

She earns 7 dollars more on Monday.

Explanation of Solution

Given:She works 5 hours every day(x).

She earns $2x-3$ more on Monday.

Calculation:

Substituting the working hours (x) in the expression,

  $\begin{array}{l}=(2\times 5)-3\\ =10-3\\ =7\end{array}$

Conclusion:She earns 7 dollars more on Monday.