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stiks02 [169]
3 years ago
5

Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whethe

r there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

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Identify the slope and y-intercept of the line whose equation is given. write the y-intercept as an ordered pair. y = negative 2
PSYCHO15rus [73]

The line having the equation, y = -2x + 5, has a slope = -2, and y-intercept = (0, 5). Thus, <u>option A</u> is the best choice.

The slope of a line is the tangent of the angle that the line makes with the positive side of the x-axis.

The y-intercept of a line is the point at which the line intersects the y-axis.

The standard form of a line is <u>y = mx + b</u>, where m represents the slope of the line, and b represents its y-intercept.

In the question, we are asked to identify the slope and the y-intercept of the line whose equation is y = -2x + 5.

Comparing the given equation of the line, y = -2x + 5, with the standard equation of a line, y = mx + b, we can say that,

m = -2, and b = 5.

Representing b as an ordered pair, we get (0, 5), as b represents the y-intercept which is a point on the y-axis, where the x-coordinate is always equal to zero.

Thus, we get the slope = -2, and the y-intercept = (0, 5).

The option representing the answer is <u>option A</u>.

Learn more about the slope and the y-intercept of a line at

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