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2 years ago

Write an equation that gives the proportional relationship of the graph.

Mathematics

1 answer:

melomori [17]2 years ago

4 0

<h3>Answer:</h3>

C) y = 6x

<h3>Step-by-step explanation:</h3>

Pick any point. It is often convenient to use x = 1 (no marked point) or x = 10 (where y = 60).

Use these values to see which equation agrees.

A: 60 ≠ (1/6)·10

B: 60 ≠ 2·20

C: 60 = 6·10

D: 60 ≠ 12·10

____

Or, you can solve ...

... y = kx

for k, using the point values you found on the graph.

... 60 = k·10

... 60/10 = k = 6 . . . . . divide by 10

This makes the equation be ...

... y = 6x . . . . . . matches selection C

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Which point is on the graph of f(x) = 3 x 5^x?

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

To determine which point lies on the graph, substitute the x-coordinate into f(x) and if the value is equal to the y-coordinate then the point is on the graph

A (15, 1)

f(15) = 3 × $5^{15}$ ≠ 1 ← not on graph

B (0, 15)

f(0) = 3 × $5^{0}$ = 3 × 1 = 3 ≠ 15 ← not on graph

C (1, 15)

f(1) = 3 × $5^{1}$ = 3 × 5 = 15 ← lies on graph

D (0, 0)

f(0) = 3 × $5^{0}$ = 3 × 1 = 3 ≠ 0 ← not on graph

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3 years ago

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Step-by-step explanation:

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2 years ago

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

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10 months ago

(-11/2+3)-2(11/4-5/2

Julli [10]

Answer: Hope this helps

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2 years ago

If Angela $98,760 home appreciates 3% a year will she have enough appreciation to try to sell a home for a $15,000 profit in fiv

olasank [31]

Answer:

Yes

Step-by-step explanation:

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