Answer:
The equation modelling the situation is
.
After <u>10 months</u> the cost would be $400.
Step-by-step explanation:
Given:
Annual Fee of flying club = $200
Monthly fee = $20
We need to write an equation for total cost.
Solution:
Let the number of months be denoted 'm'
Let Total cost be denoted by 'T'
Now we can say that:
Total cost is equal to sum of Annual Fee of flying club plus Monthly fee multiplied by number of months.
framing in equation form we get;
![T=200+20m](https://tex.z-dn.net/?f=T%3D200%2B20m)
Hence The equation modelling the situation is
.
Now given:
We need to find the number of months when total cost will be $400
So we will substitute T= 400 in above equation.
![200+20m=400](https://tex.z-dn.net/?f=200%2B20m%3D400)
Subtracting both side by 200 we get;
![200+20m-200=400-200\\\\20m=200](https://tex.z-dn.net/?f=200%2B20m-200%3D400-200%5C%5C%5C%5C20m%3D200)
Dividing both side by 20 we get;
![\frac{20m}{20}=\frac{200}{20}\\\\m=10 \ months](https://tex.z-dn.net/?f=%5Cfrac%7B20m%7D%7B20%7D%3D%5Cfrac%7B200%7D%7B20%7D%5C%5C%5C%5Cm%3D10%20%5C%20months)
Hence After <u>10 months</u> the cost would be $400.