Tanya is comparing the cost of two parking garage. garage boyd charge a flat fee of $6 per car plus $0.50 per hour. garage lott change a flat fee of $2 per car plus $1 per hour. after how many hours will the cost at garage boyd's be the same as the cost at garage lott? what will the cost be?

After 8 hours both garage cost would be same.

Hence After 8 hours both parking garage would cost $10.

Step-by-step explanation:

Let the number of hours be 'x'.

Given;

For Garage Boyd:

flat fee for each car = $6

hourly charge = $0.50

The total cost for each car after 'x' hours is the sum of flat fee for each car and  hourly charge multiplied with number of hours.

So the equation can be framed as;

Total cost =  equation 1

For Garage Lott:

flat fee for each car = $2

hourly charge = $1

The total cost for each car after 'x' hours is the sum of flat fee for each car and  hourly charge multiplied with number of hours.

So the equation can be framed as;

Total cost =  equation 2

Now according to question,

We need to find the hours at which both cost will be the same.

We need to make both equation and equation 2 equal to find the value of 'x'.

Combining the like terms we get;

Dividing both side by 0.5 we get;

Hence after 8 hours both garage cost would be same.

Now to find the cost which will be same we will substitute value of 'x' in both equation.

Garage Boyd =

Garage Lott: =

Hence After 8 hours both garage would cost $10.