Answer:
and
![y=3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j0dyxvxoctpmu5mu8g0b766h4qxbqtntoe.png)
Explanation:
Given : An exercise class has two options a $25 pass for all sessions during the month or $3 per lesson
To Find: write an equation to model the cost of going to the exercise class for a month using a pass and another equation for paying a fee for each lesson.
Solution:
Let the total cost be y
Option 1) a $25 pass for all sessions during the month
So, equation for option 1 :
![y =25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g6z7u8krip3991x7vh2yogy7cd8lhfjhq6.png)
Option 2) $3 per lesson
Let x be the number of lessons
So, cost of x lessons = 3x
So, Total cost:
![y=3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j0dyxvxoctpmu5mu8g0b766h4qxbqtntoe.png)
So, equation for option 2 :
![y =3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q0785hypg90bcwm5ja54flodmaa4fsjpce.png)
Hence an equation to model the cost of going to the exercise class for a month using a pass and another equation for paying a fee for each lesson is
and
![y=3x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j0dyxvxoctpmu5mu8g0b766h4qxbqtntoe.png)