You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven. Let = the number of miles traveled and = the total cost for the trip.

If a trip is 8 miles, which company would be the better choice?

Uber is the best choice

Step-by-step explanation:

Uber: $0.25 × 8

          = $2.00

Lyft: $0.75 × 8

        = $6.00

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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