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?

To determine the graph that represents the cost of the soup, we need to understand that when two variables are directly proportional, their relationship can be represented by a straight line. In this case, the cost of the soup (s) varies directly with the number of cans (c).

To find the equation that represents this relationship, we can use the formula for direct variation: s = k * c, where k is the constant of variation.

Given that when c is 4, the cost is $3, we can substitute these values into the equation to solve for k:

3 = k * 4

Dividing both sides by 4:

k = 3/4

So, the equation for the cost of the soup is s = (3/4) * c.

Now that we have the equation, we can determine the graph that represents it. The graph should be a straight line passing through the origin (0, 0) since there is no additional cost when there are no cans. The slope of the line should be 3/4, representing the rate at which the cost increases with the number of cans.

Therefore, the graph that represents the cost of the soup is the one labeled B.

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?

To determine the graph that represents the cost of the soup, we need to understand that when two variables are directly proportional, their relationship can be represented by a straight line. In this case, the cost of the soup (s) varies directly with the number of cans (c).

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