Question

The charge for a cab ride is S11.50, and you give a 20\% tip. Using the model, find the total cost of the cab ride. Describe what the variable a represents. Model \(2: a\) is \(120 \%\) of \(\$ 11.50 .\)

Short answer

The total cost of the cab ride (represented by 'a') is $13.80. 'a' represents the total cost of the cab ride, which includes the initial charge and the tip.

Step-by-step solution

Understand the Model

In the provided model 'a is 120% of $11.50,' 'a' is the total cost of the cab ride including the tip. As the tip is 20%, this makes the total cost 120% of the amount $11.50.

Calculate the Total Cost

From the model, calculate 120% of $11.50. This can be done by multiplying 120/100 (which is the decimal equivalent of 120%) by 11.50. The result will yield the total cost of the cab ride.

Describe the Variable

'a' represents the total cost of the cab ride, including the set fare of $11.50 and the 20% tip which equates to 120% of the set fare. Thus 'a' is the sum you pay after the ride.