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2 years ago

If y is directly proportional to x and y = 5 when x =2, what is the value of y when x=6

Mathematics

2 answers:

sammy [17]2 years ago

7 0

Answer:

y=15

Step-by-step explanation:

The formula for direct variation is

y = kx

5 =k*2

Solve for k

Divide by 2

5/2 = k

y = 5/2 x

Now we substitute x=6

y = 5/2(6)

y = 15

Tasya [4]2 years ago

4 0

Answer:

y = 15

Step-by-step explanation:

If the variables are directly proportional, increasing one by a factor of 3 will mean the other one also increases by a factor of 3.

6 is 3 times 2, so the value of y will be 3 times 5, or 15.

___

You can write the relation as a proportion:

y/x = 5/2 = ?/6

Multiplying by 6 gives ...

(5/2)·6 = ? = 15

___

Or, you can bother with an equation relating x and y:

y = kx

5 = k·2 . . . plug in the given values and solve for k

5/2 = k . . . divide by 2

Then ...

y = (5/2)·6 = 15 . . . . same as the proportion, above.

If you rearrange this to y = 5·(6/2) then you see the relation described at the beginning of this solution. The new value of y is the old value multiplied by the factor by which x changes.

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hram777 [196]

Answer:

$\text{d.}\quad a_n=-2.25(2)^{n-1}$

Step-by-step explanation:

The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.

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so the 4th term is

... -18 = a1·2^(4-1) = 8·a1

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7 0

3 years ago

3x + 4y=17<br>- 4x – 3y = - 18

OleMash [197]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the non-extraneous solutions of the square root of the quantity x plus 6 minus 5 equals quantity x plus 1.

denis23 [38]

(x+6)^(1/2)-5=x+1
(x+6)^(1/2)=x+6
((x+6)^(1/2))^2=(x+6)^2
x+6=x^2+12x+36
0=x^2+11x+30
(-11+(11^2-4(1)(30))^(1/2))/2
(-11+((1)^(1/2))/2
(-11+1)/2=-5
(-11-1)/2=-6
((-6)+6)^1/2-5=(-6)+1
(0^(1/2))-5=-5
-6 is non-extraneous
((-5)+6)^1/2-5=(-5)+1
(1^1/2)-5=-4
1-5=-4
-4=-4
-5 is non-extraneous

3 0

3 years ago

Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest

Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

$I=\dfrac{P\times r\times t}{100}$

Where, P is principal, r is the rate of interest and t is the number of years.

Putting $I=160,r=5,t=4$ in the above formula, we get

$160=\dfrac{P\times 5\times 4}{100}$

$160=\dfrac{20P}{100}$

$160=\dfrac{P}{5}$

Multiply both sides by 5.

$800=P$

Therefore, Austin borrowed $800 from a credit union for 4 years.

8 0

3 years ago

Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 1

tino4ka555 [31]

"Note how for each (x,y) pair of points given we see that x*y = 60
For instance, the point (4,15) has x = 4 and y = 15 so x*y = 4*15 = 60
Another example: (x,y) = (6,10) means x = 6 and y = 10, so x*y = 6*10 = 60
The fact that this is true for ALL of the points shown indicates we have an inverse variation of the form x*y = k where k = 60 in this case.
Therefore, the answer is B.) An inverse function is the best model because the products of corresponding x- and y-values are equal."

4 0

3 years ago

Read 2 more answers