The equation is x = 20.85 / 1.75 where x is the number of miles and the number of miles is 11.91 miles.
Given,
Sydney took a taxi from her house to the airport.
The taxi company charged a pick-up fee of $1.75 per mile.
The total fare was $20.85, not including the tip.
We need to write and solve an equation that can be used to determine the number of miles in the taxi ride.
We have,
Taxi fare per mile = $1.75
Total fare = $20.85
Find the number of miles in a total fare of $20.85.
$1.75 = 1 mile
Multiplying by 20.85 on both sides.
20.85 x $1.75 = 20.85 x 1 mile
Dividing by 1.75 on both sides.
(20.85 x $1.75) / 1.75 = (20.85 x 1 mile) / 1.75
$20.85 = 11.91 mile
We see that 11.91 miles will cost $20.85.
Write an equation to show this situation.
x = 20.85 / 1.75
Where x is the number of miles.
we get,
x = 20.85 / 1.75 = 11.91
Thus the equation is x = 20.85 / 1.75 and the number of miles is 11.91 miles.
Learn more about solving an equation to find the number of miles with a rate given per mile here:
brainly.com/question/22582035
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