Connor took a taxi from his house to the airport. The taxi company charged a pick up fee of $2.10 plus $1.75 per mile. The total fare was $12.60, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride

9514 1404 393

  m = 6 miles in the taxi ride

Step-by-step explanation:

The total fare is ...

  fare = pick-up fee + (cost per mile)×(miles)

  12.60 = 2.10 + 1.75m . . . . . the equation

  10.50 = 1.75m . . . . . . subtract 2.10

  10.50/1.75 = m = 6 . . . . . . divide by the coefficient of m

The taxi ride was 6 miles.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

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