Question 622378
The total cost (C) of the taxi ride can be expressed by:
{{{C = 2.95+0.95(6*m)}}} Where m = number of miles travelled. Set C = $14.35
{{{14.35 = 2.95+0.95(6*m)}}} Subtract 2.95 from both sides.
{{{11.4 = 0.95(6*m)}}} Perform the indicated multiplication..
{{{11.4 = 5.7m}}} Finally, divide both sides by 5.7
{{{m = 2}}}miles.
Note: We used 6*m because if it cost $0.95 for one sixth of a mile, then it cost six times for one mile, hence the 6*m.