Respuesta :
We will determine how much time it takes for Jenna to buy a guitar.
First we will try to analyze Jenna's bak account situation. She has a certain amount of savings ( S ) and she plans to save ( r ) amount every week.
[tex]\begin{gathered} S\text{ = \$45} \\ r\text{ = \$35} \end{gathered}[/tex]We will express the amount that Jenna has in ( x ) number of weeks in her saving account:
[tex]\begin{gathered} T\text{ = S + r}\cdot x \\ T\text{ = 45 + 35}\cdot x \end{gathered}[/tex]Jenna wants to buy a guitar which costs ( c ) around:
[tex]c\text{ = \$375}[/tex]For her to buy a guitar which costs ( c ), she must have the same amount in her savings account ( T ). We will equate the two and solve for ( x ) to determine the minimum number of weeks required for her to save the cost of a guitar:
[tex]\begin{gathered} T\text{ = c} \\ 45\text{ + 35}\cdot x\text{ = 375} \end{gathered}[/tex]We have a single variable equation which can be solved by algebraic manipulation as follows:
[tex]\begin{gathered} 35\cdot x\text{ = 330} \\ \\ x\text{ = }\frac{330}{35} \\ \\ x\text{ = }9.43\text{ w}eeks\text{ }\approx\text{ 10 w}eeks \end{gathered}[/tex]Therefore, she
