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Alinara [238K]
3 years ago
14

Here's a graph of a linear function. Write the equation that describes that function.

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

The slope-intercept form of the graph is y=\frac{1}{2} x+4.

Solution:

Let us take any point on the straight line.

Here, we take (–8, 0) and (0, 4).

Let us first find the slope of the line.

Slope of the line formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x_1=-8, y_1=0, x_2=0, y_2=4

$m=\frac{4-0}{0-(-8)}

$m=\frac{4}{8}

$m=\frac{1}{2}

Slope-intercept form:

y-y_1=m(x-x_1)

$y-0=\frac{1}{2} (x-(-8))

$y=\frac{1}{2} (x+8)

$y=\frac{1}{2} x+\frac{8}{2}

$y=\frac{1}{2} x+4

Hence the slope-intercept form of the graph is y=\frac{1}{2} x+4.

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Ok, First you have to find the GCF of 120 and 90. When I got the answer I got a GCF of 30. I got 30 by multiplying all the number prime numbers 120 and 90 had, 2×3×5=30  What I did next was  divide thirty by the number of  cracker and also by the number of can of juice.

120÷30= 4

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So as you can see there could be a maximum 30 of kid's. Each of the kids would receive 4 cans of juice and 3 packs of cheese crackers.


I hope you enjoyed my explanation. :)

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