Courtney and her family traveled 14 miles in Mr. De Palma's cab from the airport to the hotel.
Step-by-step explanation:
The total amount of the ride, including tip, was $42.00. Since this amount represents exactly eight times the amount that was received as a tip, 42/8 is $5.25, which is the cost of the tip. The other flat rates associated with the trip is the $3.15 for entry and $1.75 for each additional passenger (1.75 x 3=5.25). Once you subtract these fees from the total amount, $42 - $5.25 (tip) - $5.25 (additional passengers) - $3.15 (entry) = $28.35. Since Mr. De Palma charges $0.45 for every two-ninths of a mile, you take the revised total 28.35/.45 = 63. Since 63 represents the amount for every two-ninths of a mile, you need to multiply this amount by 2/9 to get your total amount of miles, or 63 x 2/9 = 14.
To find the average rate of change, we divide the change in the output value by the change in the input value. The Greek letter Δ (delta) signifies the change in a quantity; we read the ratio as “delta-y over delta-x” or “the change in y divided by the change in x”.
