Angela is driving across the state to her friends house. she just fulled her fuel rake to its maximum capacity of 26 gallons if the amount of fas in her car decreases by 2 gallons every 48 miles, which of the following graphs best represents the number of gallons of fuel remaining?

The answer for the given question is Option D, it is the best represent graph for the number of gallons of fuel remaining.

Step-by-step explanation:

              The given is,

                       Maximum capacity of fuel rake is 26 gallons.

                       For every 48 miles of car decreases by 2 gallons.

Step:1

            From the given,

                      Total fuel capacity, F = 26 gallons

                       Distance = 384 miles    (∵ total distance is obtained from given diagram)

Step:2

            Fuel for 48 miles consumes 2 gallons

            Gallons for total ride = Total miles × Fuel for each miles.................(1)

Step:3

           Fuel consumption for each mile,

                                               =

                                               =                   (∵ from given)

                                               = 0.04166667 gallons per mile

Step:4

        From eqn (1),

         consumption Gallons for the ride   = 384 × 0.0416667

                                                                   = 16 gallons

Step:5

     Fuel (Gallons) remaining after the ride,

                              = Maximum capacity -   consumption Gallons for the ride

                              = 26 - 16

                              = 10 gallons

Result:

    The best represent graph for the number of gallons of fuel remaining is option D, fuels consumption for the ride is 16 gallons, fuels remaining are 10 gallons.

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~