Mel Cheek is a fishing guide on the Chenega River. The fish are usually found 20 to 50 miles upriver. Once the fish are located, Mel slows the boat to trolling speed and fishes for about 6 hours before returning to dock. Mel has noted that overall fuel costs vary based on "miles upriver" and he is considering changing his guide fee to separately charge customers for estimated fuel costs. Below is Mel's log for 15 typical days showing "miles upriver to locate fish" and "total fuel cost".

Day Miles Upriver Fuel Cost
1 37 $86
2 41 93
3 22 73
4 28 80
5 49 99
6 25 74
7 33 85
8 37 87
9 44 93
10 24 77
11 29 80
12 45 96
13 35 83
14 36 87
15 31 80
Total 516 $1,273
(a) Use the high-low method to determine the "fixed fuel cost" associated with the trolling time, and the "variable fuel cost" associated with running up and down the river.
(b) If the sole objective of the fuel charge is to approximately recover actual costs incurred each day, would "$2.50 per mile upriver" be a fair formula? What alternative formula might you suggest?

$(52+1m)

Where m= number of miles upriver

Step-by-step explanation:

Highest Mile Run=49

Lowest Mile Run=22

Difference=49-22=27

Cost at Highest Mile Run =$99

Cost at Lowest Mile Run=$73

Difference=99-73= $26

Variable Cost Per mile upriver

= $26/27 miles =$0.963 per miles

At the highest mile run,

Fixed cost = Total High Cost- Variable Cost

=99-(0.963 X 49)=99-47.19 =$51.81

At the highest mile run,

Fixed cost = Total High Cost- Variable Cost

=73-(0.963 X 22)=73-21.19 =$51.81

(b)Although the idea of charging $2.50 per miles would seem to average out about right (1273/516=$2.48), it would not be a fair price as some days would be overpriced (e.g. 49 miles at $2.50 per mile =$122.5 which is more than expected actual cost) and other days would be underpriced (e.g. 22 miles at $2.50 per mile =$55 which is less than expected actual cost).

A fair formula will be to charge a flat fee of $52 and a cost of $1 per mile upriver.

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.