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The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the cost of the soup?


On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A curve opens up to the right and approaches the x-axis and the y-axis. The vertex is around (1, 1).

On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A straight line has a positive slope and goes through (0, 0), (3, 4), and (6, 8).

On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A straight line has a positive slope and goes through (0, 0), (4, 3), and (8, 6).

On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A curve starts at (0, 0) and opens up to the left. The curve goes through (4, 3) and (5, 6).

Respuesta :

A straight line has a positive slope and goes through (0, 0), (4, 3), and (8, 6).So, option C is correct.

What is the constant of proportionality?

As we can see that s varies directly with c,

⇒ s ∝ c

⇒ s = kc -----(1)

Where k is the proportionality constant,

Here, Let s represent the cost of soup and c represents the number of a can,

Given,

when c = 4, s = 3,

From equation (1),

3 = k (4)

k = 3/4

Again from equation (1),

s = 3/4 c

So, Let the x-axis represents the number of can and the y-axis represents the cost of soup,

s = 3/4 c is a straight line

Where, s ≥ 0 and c ≥ 0

When, c = 0, s = 0,

When c = 4,

When c = 8,

When c = 16,

Therefore, option C is correct On a graph, the x-axis shows the number of cans, from 0 to 10, and the y-axis shows the cost of soup, from 0 to 10. A straight line has a positive slope and goes through (0, 0), (4, 3), and (8, 6).

Learn more about proportionality ;

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