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Kisachek [45]
2 years ago
9

Find the constant of proportionality.

Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer as a fraction =  4/3

Answer in decimal form = 1.33 approximately

===================================================

Explanation:

x = number of days

y = number of inches

For instance, on day x = 3, we have y = 4 inches of flood water. This is shown by the point (x,y) = (3,4) on the diagonal line.

Divide y over x to get the value of k, which is the constant of proportionality.

k = y/x

k = 4/3

k = 1.33 which is approximate

You could also pick a point like (x,y)  = (6,8) to find that

k = y/x

k = 8/6

k = 4/3

k = 1.33

Which is the same as earlier.

We can pick any point on the diagonal line as long as it's not the origin point (0,0).

The equation of this direct variation line is y = (4/3)x. It has a slope of 4/3 and a y intercept of 0. The slope of 4/3 means that each time we move up 4 on the y axis, we move to the right 3 units on the x axis.

In short, slope = rise/run = 4/3. So rise = 4 and run = 3.

For any direct variation linear equation, the slope and constant of proportionality are the same thing.

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Estado tratando esto por mucho tiempo​
maksim [4K]

Answer:

1/2

Step-by-step explanation:

Paso Uno: \frac{5}{1}* \frac{5}{1} *\frac{5}{1}* \frac{5}{1} *\frac{5}{1}* 1/10= 5/10

Paso Dos: Simplificar:

5/5=1

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6 0
3 years ago
Help needed please , I do not understand
luda_lava [24]
I don’t understand it too lol
3 0
2 years ago
A coin is tossed and a number cube is rolled what is the probability that the coin shows heads and the number cube shows six
Advocard [28]

Answer:

There is a 1/2 chance the coin will land on heads and there is a 1/6 chance that the number cube will land on 6. hope this helps

5 0
3 years ago
The scatterplot shows the average miles per gallon versus the age, in years, of a car.
densk [106]

Answer:

The sign would remain the same.

It would have the same value.

ED2021

5 0
2 years ago
Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).
sdas [7]
<h3>Answer:  f( h(x) ) = 2x - 4</h3>

Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

f( h(x) ) = 2x+3 - 7

f( h(x) ) = 2x - 4

Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

8 0
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