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Salsk061 [2.6K]
3 years ago
12

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

portionality? A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The values on the y axis are 0, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240. Points are shown on ordered pairs 0, 0 and 2, 48 and 4, 96 and 6, 144 and 8, 192. These points are connected by a line. The label on the x axis is Video Messages Sent. The label on the y axis is Price in cents. 12 24 46 48
Mathematics
2 answers:
Colt1911 [192]3 years ago
8 0

Answer:

24.

Step-by-step explanation:

Basically constant of proportionality is a ratio.

We take two points, we'll take the order pair (2,48)

It will always be y/x so y is 48 and x is 2

48/2    -  now we simplify

answer: 24

hope this helps! :))

gizmo_the_mogwai [7]3 years ago
4 0
Answer: 24 hope this helps!!!!
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Manuela is having mugs made for a fundraiser. The Cup Company will make them for $4 each plus a $30 set-up charge. Mugs Are Us w
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Answer:

The price will be the same for both companies at 60 mugs

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

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  • b is the fixed amount

Assume that the number of mugs is x and the total cost of them is $y

∵ The Cup Company will make them for $4 each plus a $30

   set-up charge

∴ The cost per mug = $4

∴ m = 4

∴ The fixed amount = $30

∴ b = 30

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4x + 30 ⇒ (1)

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∴ m = 4.5

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∵ x is the number of mugs

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∴ y = 4.5x + 0

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∵ The price be the same for both companies

→ Equate the right sides of (1) and (2)

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→ Subtract 4x from both sides

∵ 4.5x - 4x = 4x - 4x + 30

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→ Divide both sides by 0.5

∴ x = 60

∴ The price will be the same for both companies at 60 mugs

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