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Semmy [17]
3 years ago
15

The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro

portionality?
8
14
16
48

Mathematics
2 answers:
Eduardwww [97]3 years ago
5 0

Answer:

16

Step-by-step explanation:

The reason the answer is 8 is because if you see it is going up by 16's. If you see 0,16,32,48,64 all be 16's.

Misha Larkins [42]3 years ago
4 0

Answer:

8

Step-by-step explanation:

The equation is of the form

y = kx ← k is the constant of proportionality

To find k use the slope formula

k = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 16) ← 2 points on the line

k = \frac{16-0}{2-0} = \frac{16}{2} = 8

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Step-by-step explanation:

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Help please
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General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-7,5)\ (-4,1)\ into\ equation\\\\ 
\left \{ {{5=-7a+b}\ \ \ \ \atop {1=-4a+b\ |*-1}} \right.\\\\ \left \{ {{5=-7a+b}\ \ \ \ \atop {-1=4a-b}} \right.\\\\
+----\\\\Addition\ method\\\\
4=-3a\ \ |:(-3)\\\\
a=-\frac{4}{3}\\\\
b=5+7a=5+7*(-\frac{4}{3})=5-\frac{28}{3}=-4\frac{1}{3}\\\
Answer\ y=-\frac{4}{3}x-4\frac{1}{3}\\\\
Checking\ solution:\\
y-5=-\frac{4}{3}(x+7)
y-5=-\frac{4}{3}x-\frac{28}{3}\\\\
y=-\frac{4}{3}x-\frac{28}{3}+5\\\\
y=-\frac{4}{3}x-4\frac{1}{3}\\\\Answer:B \ and\ D.
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