Taxi fare from an airport to a nearby town is $0.80 per mile driven, plus $2 for tolls. Let y represent the lare and r the miles driven on one trip. write the equation for y in terms of r. Find the fare when the distance driven is 17 miles.
How many tolls have to be paid? Assuming one toll:
y = $2 + .80r
Substitute 17 for r and solve.
To find the equation for y (the fare) in terms of r (the miles driven), we need to consider the given information: the fare is $0.80 per mile driven, plus $2 for tolls.
The fare per mile driven is $0.80, and since there are r miles driven, the fare for the miles driven is 0.80r.
Additionally, there is a $2 charge for tolls, so the equation for y in terms of r is:
y = 0.80r + 2
To find the fare when the distance driven is 17 miles, we substitute r = 17 into the equation:
y = 0.80(17) + 2
y = 13.6 + 2
y = $15.60
Therefore, the fare for a 17-mile trip would be $15.60.
To find the equation for the fare in terms of miles driven, we need to consider two components:
1. The cost per mile driven, which is $0.80 per mile.
2. The fixed cost for tolls, which is $2.
The total fare, y, can be calculated as follows:
y = (cost per mile) * (miles driven) + (toll cost)
Substituting the given values:
y = 0.80r + 2
Now, we can find the fare when the distance driven is 17 miles by substituting r = 17 into the equation:
y = 0.80 * 17 + 2
y = 13.60 + 2
y = $15.60
Therefore, the fare when the distance driven is 17 miles is $15.60.