Question

The equation c equals one fourth times s represents the proportional relationship between the number of bags of cement (c) and the number of bags of sand (s) required to make concrete. A graph of this relationship is shown.

graph with x axis labeled bags of cement and y axis labeled bags of sand, with a line from 0 comma 0 going through 16 comma 4

Which statement is true?

Answer 1

The graph represents the proportional relationship
`\(c = (1)/(4)s\)`between bags of cement
`(\(c\))` and bags of sand
`(\(s\)).` The point (16,4) indicates that for 16 bags of cement, 4 bags of sand are required, validating the equation.

The equation
`\(c = (1)/(4)s\)` represents a proportional relationship between the number of bags of cement
`(\(c\))` and the number of bags of sand (\(s\)) required to make concrete. In this proportional relationship, the coefficient of
`\(s\)` is
`\(1/4\),` which means that for every 1 bag of cement, you need 1/4 bags of sand.

The graph you described has a line going through the points (0,0) and (16,4). Let's interpret this graph based on the given equation:

- The point (0,0) on the graph represents the origin, indicating that when you have 0 bags of cement, you would also have 0 bags of sand, which is consistent with the proportional relationship.

- The point (16,4) on the graph means that when you have 16 bags of cement
`(\(c = 16\)),` according to the equation
`\(c = (1)/(4)s\)`, the corresponding number of bags of sand
`(\(s\))` would be \(4\). This is consistent with the proportional relationship, as it indicates that for every 1 bag of cement (16 bags in this case), you need 1/4 bags of sand (4 bags in this case).

Based on the information provided, the statement that is true is: "For 16 bags of cement, you need 4 bags of sand in this proportional relationship."