Answer:
The equation modelling the situation is [tex]T=200+20m[/tex].
After 10 months 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;
[tex]T=200+20m[/tex]
Hence The equation modelling the situation is [tex]T=200+20m[/tex].
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.
[tex]200+20m=400[/tex]
Subtracting both side by 200 we get;
[tex]200+20m-200=400-200\\\\20m=200[/tex]
Dividing both side by 20 we get;
[tex]\frac{20m}{20}=\frac{200}{20}\\\\m=10 \ months[/tex]
Hence After 10 months the cost would be $400.
