Question

In order to join a flying club,there is a $200 annual fee and $20 a month fee to maintain the flying club runaway.Write an equation to model this situation. After how many months will the cost be $400

Answer 1

Answer:

The equation modelling the situation is $T=200+20m$.

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;

$T=200+20m$

Hence The equation modelling the situation is $T=200+20m$.

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.

$200+20m=400$

Subtracting both side by 200 we get;

$200+20m-200=400-200\\\\20m=200$

Dividing both side by 20 we get;

$\frac{20m}{20}=\frac{200}{20}\\\\m=10 \ months$

Hence After 10 months the cost would be $400.