Mathematics, 11.10.2019 21:20 gldenps4780

The number f of miles a ship is from its destination x hours after starting a voyage is given by f (x) = 120 - 25x. the number f of miles a submarine is from its destination x hours after leaving port is shown in the graph below

state the distance and length of time of each voyage.

the ship traveled 120 miles in hours. the submarine traveled miles in 5 hours.

The number f of miles a ship is from its destination x hours after starting a voyage is given by f (

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Answer from: johnandashley5p65r4a

120 miles in 4.8 hours

75 miles in 5 hours

Step-by-step explanation:

Ship:

The number f(x) of miles a ship is from its destination x hours after starting a voyage is given by f(x) = 120 - 25x. This means, initially the ship is 120 miles away from its destination.

If the ship traveled 120 miles, then f(x)=0 (the ship will be 0 miles away from its destination) and

0 = 120 - 25x

25x = 120

x = 4.8 hours.

Submarine:

At x = 0 hours the submarine was 75 miles away

At x = 5 hours, the submarine was 0 miles away.

So, in 5 hours the submarine traveled 75 miles

Answer from: antasia12342

The ship traveled 120 miles in 4.8 hours. The submarine traveled 75 miles in 5 hours.

Step-by-step explanation:

In this case, we just have to use the given graph to answer correctly the submarine voyage. In addition, the given function relates Hours with Distance (miles) about a ship voyage. First, the problem is asking about the time when it traveled 120 miles, and it's asking the distance after traveling 5 hours, to answer that question we just have to see what values belong to each question.

So, the expression f(x) = 120 - 25x specify that the ship is starting from 120 miles away the objective, because when x = 0 (the initial point), y = f(x) = 120. This means that after traveling 120 miles, the ship will be 0 miles away, so f(x) = 0. Replacing this value we will find the needed time to travel 120 miles.

f(x) = 120 - 25x

0= 120 - 25x

25x= 120

$x=\frac{120}{25}=4.8$

Therefore, it will require 4.8 hours to travel 120 miles.

The second question is asking miles traveled after 5 hours by the submarine. In this case, the graph belongs to the submarine. We observe that in x = 5 hours, the distance traveled is 75 miles, because the line dropped from 75 to 0 miles, when went horizontally from 0 to 5 hours, meaning that after 5 hours, it traveled 75 miles.

Answer from: Quest

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Answer from: Quest

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