So the distance of a aircraft flies a proportional relationship whith its number of hours inflight. The table shows the number of miles flown for a number of hours in flight. Find the constant of proportionality. How long will the jet take to travel 5,880.

Answers

Answer 1

Answer:

The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles

The time required is 12 hours

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the distance of the aircraft be = x

Let the total time taken by the aircraft be = y

Let the constant of proportionality be k

when x = 1 ,

y = 490

So , the equation will be y = kx

Substituting the values in the equation , we get

y = 490x

when x = 2

y = 490 ( 2 )

y = 980

Now , the time taken by aircraft to travel 5,880 miles is

Substitute the value of y as 5880 in the equation , we get

5880 = 490x

Divide by 490 on both sides of the equation , we get

x = 5880 / 490

x = 12

Therefore , the time taken is 12 hours

Hence , the constant of proportionality is 490

To learn more about proportion click :

brainly.com/question/7096655

#SPJ2

Answer 2

Answer:

The constant of proportionality is 490

The jet will take 12 hours to travel 5,880 miles

Step-by-step explanation: The miles multiply by 490 each time.

490 x 12 is 5,880

Related Questions

Explaining How to Compare Water Levels Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period. Explain how she would calculate the difference between how much water levels rose on average and how much the water level fell in the part of the river she observed.
Simplify 3.3l : 900ml
Find the valueis the the correct answer
If you had 9 pieces of licorice to share equally around 5 people, how much licorice would each person get? *
The coefficient of 8 · 2N is ___.

Function form
5x-7y=14

Answers

function form is when you put x in, you get y so the correct equaiton should be y=so and so

so

5x-7y=14
subtrac 5x form both ssides
-7y=14-5x
divide both sides by 7
-y=2-5/7x
multiply by -1
y=5/7x-2
that is it

Arrange in order from smallest to largest.
6.09, 6.9, 6.099, 6.999

Answers

6.09, 6.099, 6.9, 6.999

Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Katrina'a home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. Th elibrary is 4 miles from her home. The football field is 18 miles from the library?

Answers

2 miles from her home. Not 6

Select all the irrational numbers.-0.237
/12
2
-0.1/144
√43
57
10

Answers

Answer:

the answer is 01

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve rational inequality x²+x-6/x²-3x-4≤0?

Answers

Applying division signal rules, from the graphs of both functions, it is found that the solution of the inequality is:

$x \in [-3,-1) \cup [2,4)$

------------------

A fraction, which represents a division, is negative if the numerator and the denominator have different signals. Thus, to solve this inequality, we have to study the signals of the numerator and the denominator.

The numerator is: $f(x) = x^2 + x - 6$

It is the first graph appended at the end of this answer.
From the graph, we have that it is negative or zero on [-3,2], and positive on the rest of the interval.

The denominator is: $g(x) = x^2 - 3x - 4$

It is the second graph appended at the end of this answer.
The denominator cannot be zero, so we consider only the interval (-1,4), in which it is negative.