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4 years ago

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What makes a graph a proportional relationship?

1 answer:

saw5 [17]4 years ago

8 0

Answer:The graph of a proportional relationship is a straight line that passes through the origin. Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph.

Step-by-step explanation:

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The graph below shows a proportional relationship between yyy and xxx.

Elena-2011 [213]

Answer:

$k = 40$

Step-by-step explanation:

Given

The attached graph

Required

Calculate the constant of proportionality.

Represent the required constant with k.

Such that:

$k = \dfrac{y}{x}$

Pick any two corresponding values of x and y

$(x,y) = (1,40)$

This means that:

$x = 1\ and\ y = 40$

$k = \dfrac{y}{x}$ becomes

$k = \frac{40}{1}$

$k = 40$

8 0

3 years ago

Read 2 more answers

. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy wo

andriy [413]

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

8 0

3 years ago

Can som help plzzzzzzz

xxMikexx [17]

I cant really see it can u type the equation?

8 0

3 years ago

Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34°. Find the magni

ratelena [41]

Answer:

10 pounds

Step-by-step explanation:

the requested information so that

7 0

3 years ago

Find the area between the graph of the function and the x-axis over the given interval, if possible.

vodomira [7]

Answer:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

$A = \int_{-\infty}^1 \frac{5}{(x-2)^2}$

For this case we can use the following substitution $u = x-2$ and we have $dx = du$

$A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du$

And if we solve the integral we got:

$A= -\frac{5}{u} \Big|_a^b$

And we can rewrite the expression again in terms of x and we got:

$A = -\frac{5}{x-2} \Big|_{-\infty}^1$

And we can solve this using the fundamental theorem of calculus like this:

$A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5$

So then the integral converges and the area below the curve and the x axis would be 5.

7 0

3 years ago