All categories

3 years ago

Which linear function shows a direct variation?

Mathematics

1 answer:

tankabanditka [31]3 years ago

4 0

Answer:

D. Graph D

Step-by-step explanation:D. Graph D

Step-by-step explanation:

We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.

That is, if one variable changes, the other variable also changes in proportion to the first variable.

The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.

Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.

Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.

Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.

Hence, the linear function in Graph D shows a direct proportion.

You might be interested in

300 miles is equal to how many yards

Novosadov [1.4K]

300 miles is equal to how many yards
= 528000

Hope this helps!

5 0

3 years ago

Read 2 more answers

Help please because i am very dumb

Sloan [31]

A) 7000
B) 20000
C) 300000

6 0

2 years ago

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul

kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola? namely, at what cost for how many bats?

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill$

6 0

3 years ago

if each exterior angle on a regular polygon has a measure of 12 degrees how many sides will the polygon have

DedPeter [7]

Answer:

It will have 30 sides

8 0

3 years ago

Help please, i don't understand it!!!!

velikii [3]

$V=\dfrac{4}{3}\pi r^3\ \ \ |\cdot\dfrac{3}{4}\\\\\pi r^3=\dfrac{3V}{4}\ \ \ \ |:\pi\\\\r^3=\dfrac{3V}{4\pi}\ \ \ |:r\\\\r^2=\dfrac{3V}{4\pi r^2}$

Substitute to S.A.

$S.A.=4\pi r^2=4\pi\cdot\dfrac{3V}{4\pi r^2}=\dfrac{3V}{r}$

$\dfrac{S.A.}{V}=\dfrac{4\pi r^2}{\frac{4}{3}\pi r^3}=\dfrac{3}{r}$

$\dfrac{S.A.}{V}=1\to\dfrac{3}{r}=1\to r=3$

Answer: B

6 0

3 years ago