A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 miles away. Model Susie’s situation with a system of inequalities.
x >= 2
1.75 + 0.55x <= 10.00
To model Susie's situation with a system of inequalities, we need to consider the conditions for her taxi cab ride.
Let's define "x" as the number of miles Susie will be traveling. The given conditions can be summarized as follows:
1. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 miles away: x > 2
2. The cost of the taxi ride should not exceed $10: 0.55x + 1.75 ≤ 10
Therefore, the system of inequalities representing Susie's situation can be written as:
x > 2
0.55x + 1.75 ≤ 10
These inequalities ensure that Susie's ride distance is greater than 2 miles and that the cost of the ride does not exceed $10.