Taking an Uber ride in NYC has an initial fee of $2.55 with an additional charge of $1.75 per mile (we will ignore the small per minute waiting fee). In equation form, cost = 2.55 + 1.75(miles). a local NYC resident records the number of miles for his first 25 rides with Uber. The mean distance of his rides is 5.6 miles with a standard deviation of 1.2 miles. a) Find the mean cost of the 25 trips. b) Calculate the standard deviation of the cost of the 25 trips.

a) The mean cost of the 25 trips is:

$12.35.

b) The standard deviation of the cost of the 25 trips is:

$52.50

Step-by-step explanation:

a) Data and Calculations:

Initial fee (fixed) = $2.55

Variable (additional) charge = $1.75 per mile

Equation = 2.55 + 1.75(miles)

Trips = 25

Mean distance for first 25 rides = 5.6 miles

Standard deviation = 1.2 miles

Mean cost of the 25 trips = 2.55 + 1.75 (5.6) = $12.35

Total cost = $308.75 (25 * 12.35) based on mean cost

Standard deviation of the cost of the 25 trips:

Total standard deviation for the 25 trips = 30 miles (1.2 * 25)

= $52.50 (1.2 * 25 * $1.75)