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Ket [755]
3 years ago
15

The point (5 5/8, 2 1/4) lies on a line that represents a proportional relationship between two units of measure.

Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

9514 1404 393

Answer:

  a) k = 2/5

  b) y = 2/5x

  c) y = 2 3/5

Step-by-step explanation:

<h3>a)</h3>

The proportional relation is described by the equation ...

  y = kx . . . . . . k is the constant of proportionality

The value of k can be found by dividing the equation by x:

  y/x = k = (2 1/4)/(5 5/8) = (9/4)/(45/8) = 18/45

  k = 2/5

__

<h3>b)</h3>

As above, the equation is ...

  y = kx

  y = 2/5x

__

<h3>c)</h3>

Using 6.5 for x, we have ...

  y = (2/5)(6.5) = 2.6 = 2 3/5

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Answer:

The equation that closely represents the graph is \mathbf{y=60x-160}

Option A is correct.

Step-by-step explanation:

We need to find equation that represents the graph.

We can write equation in slope-intercept form: y=mx+b where m is slope and b is y-intercept.

For finding the equation we need to find slope and y-intercept

Finding slope

The slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

From the graph we can find x_1=0, y_1=-160, x_2=1, y_2=-100

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60

We get Slope = 60

Finding y-intercept

Using point (0,-160) and slope m = 60, we can find y-intercept

y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160

Writing the equation

So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:

y=mx+b\\y=60(x)+(-160)\\y=60x-160

So, The equation that closely represents the graph is \mathbf{y=60x-160}

Option A is correct.

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nadezda [96]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

18k+30fk

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4 years ago
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Answer:

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