Question

PLEASE HELP!!!! While observing the fare meter in a taxi, a student records the following data:

Reading on Taxi Fare Meter
Time (minutes) Meter Reading
0 $7.75
10 $13.25
20 $18.75
30 $24.25

What is the equation that relates the cost, C(t), of the taxi ride and time, t, in minutes? What is the cost of a 42-minute taxi ride? (7 points)

C(t) = 0.55t + 7.75, $30.85
C(t) = 1.71t + 7.75, $79.57
C(t) = 0.775t + 5.50, $38.05
C(t) = 5.5t + 0.775, $231.78

Answer 1

C(t) = 0.55t + 7.75, $30.85

Explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85