Calculate the constant of variation if y varies directly as x.

1 answer:

6 0

You have not provided the complete question (value of y at a certain value of x), therefore, I cannot give u a specific final answer. However, I can explain how to solve this problem and you can apply on the numbers you have.

y varies directly with x means that as x increases, y also increases and vice versa.
This can be represented by the following equation:
y = kx
where k is the constant of proportionality.

Solving this for k, we would find that:
k = y/x

Examples:
If we are given that y = 4 at x = 2, then:
k = y/x = 4/2 = 2
If we are given that y = 1 at x = 3, then:
k = y/x = 1/3
In general, if we are given that y = a at x = b, then:
k = a/b

Hope this helps :)

You might be interested in

How many liters of a 10% alcohol solution must be mixed with 90 liters of a 60% solution to get a 30% solution?

Setler [38]

Since 10% = 0.10 by moving the decimal two spots to the left, we can say that 0.10L is the amount of alcohol with 10% concentration in L liters. Similarly, 0.60L is 60% for L liters and 0.30L is the amount of liters with 30%. If the amount of 10% alcohol solution in liters is x and the 60% in y, we get 0.10x+0.60y=0.30L due to that the liters add up to get a 30% amount of alcohol (this equation represents the amount of alcohol). Next, x+y=L. Since we know that we have 90 liters of 0.60, y=90 and we have
0.10x+54=0.30L
x+90=L. Plugging x+90 for L, we get 0.10x+54=0.3(x+90)=0.3x+27. Subtracting 27 and 0.1x from both sides, we get 0.2x=27. Next, we can multiply both sides by 5 (since 1/0.2=5) to get x=135 liters

4 0

4 years ago

Write the polynomial in standard form and identify the x-intercept, as well as the zeros for

likoan [24]

Well, ok, the x intercepts aer where the function equals 0
also
if the x intercepts are r1 and r2 then the factored form of the function is
f(x)=a(x-r1)(x-r2) where a is a constant
well, we have it already in that form

f(x)=(x-3i)(x-3i)
the x intercept is at x=3i
standard form requires expansion
we expand to get
f(x)=x²-6i-9

7 0

3 years ago

Yesterday 170 guests at a hotel called for room service, and 255 guests did not call for ro service. What percentage of the gues

Levart [38]

Answer: 40%

Step-by-step explanation: you would need to find the total amount of guests which would be 425 since you’d add 170 and 255, then take the amount of guests that called for room service which is 170 and divide that by the total amount of guests 425 and you would get .4 then to get the percent you would multiply .4 by 100 which would equal 40%

5 0

3 years ago

Find the value of a2+bc√−d, when<br><br> a = –3, b = 2, c = 100, and d = –2.

pav-90 [236]

Umm im pretty sure d= -3x im not to sure

5 0

3 years ago

Read 2 more answers

Question 3(Multiple Choice Worth 4 points)

boyakko [2]

Answer:

The correct option is (1).