Respuesta :
Solution:
The question indicates a linear equation showing the relationship between the fee charged on golf lessons and the hour spent.
The linear equation can be represented by;
[tex]\begin{gathered} y=r+g \\ \text{where y is the total f}ee\text{ charged} \\ r\text{ is the registration fe}e \\ g\text{ is the golf lesson fe}e \end{gathered}[/tex]Given:
[tex]\begin{gathered} r=\text{ \$50} \\ g=12t,\text{ where t is the number of hours for the golf lesson} \\ y=\text{ \$98} \end{gathered}[/tex]From the above,
The equation can be re-written as;
[tex]y=50+12t[/tex]Hence, substituting the total amount made for the day into the equation to get the number of hours used teaching the lessons;
[tex]\begin{gathered} 98=50+12t \\ \text{Collecting the like terms to get t,} \\ 98-50=12t \\ 48=12t \\ \text{Dividing both sides by 12;} \\ t=\frac{48}{12} \\ t=4\text{hours} \end{gathered}[/tex]Therefore, 4 hours was spent teaching the lessons for the day $98 was made.
