Question

question sydney took a taxi from her house to the airport. the taxi company charged a pick - up fee of $1.60 plus $1.75 per mile. the total fare was $20.85, not including the tip. write and solve an equation which can be used to determine x, the number of miles in the taxi ride. watch video show examples

Explanation:

Step1: Define the cost structure

The total cost is the pick - up fee plus the cost per mile times the number of miles. Let \(x\) be the number of miles. The pick - up fee is \(\$1.60\) and the cost per mile is \(\$1.75\), and the total cost is \(\$20.85\). So the equation is \(1.60 + 1.75x=20.85\).

Step2: Solve for x

Subtract \(1.60\) from both sides of the equation:
\(1.75x=20.85 - 1.60\)
\(1.75x = 19.25\)

Then divide both sides by \(1.75\):
\(x=\frac{19.25}{1.75}\)
\(x = 11\)

Answer:

The equation is \(1.60 + 1.75x = 20.85\) and the number of miles \(x = 11\).