The number of miles in the ride is 4
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
A system of linear equations is a collection of at least two linear equations.
In this case, the given parameters are:
Pick up fee = $4.70 per ride
Rate = $2.50 per mile
Let the number of miles be x and the total amount of fare be y
So, we have:
y = Pick up fee + rate * x
This gives
y = 4.70 + 2.5x
The total fare was $14.70, not including the tip
This gives
4.70 + 2.5x = 14.70
Subtract 4.70 from both sides
2.5x = 10.0
Divide both sides by 2.5
x = 4
Hence, the number of miles in the ride is 4
Read more about linear equations at:
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