Question

complete the double number line to show the other values of fat and protein. choose 1 answer: a fat (g) 0 2 4 6 8 protein (g) 0 11 24 37 50 b fat (g) 0 2 4 6 8 protein (g) 0 11 22 33 44

Explanation:

Step1: Analyze Fat's Interval

The fat number line has values \(0, 2, 4, 6, 8\). The interval between consecutive marks is \(2 - 0 = 2\) (or \(4 - 2 = 2\), etc.), so each tick is \(2\) units.

Step2: Analyze Protein's Proportionality

For a double number line, the relationship between fat and protein should be proportional (linear). Let's check the ratios. For option B, when fat is \(2\) (first tick after \(0\)), protein is \(11\); fat \(4\) (second tick), protein \(22\) (\(11\times2\)); fat \(6\), protein \(33\) (\(11\times3\)); fat \(8\), protein \(44\) (\(11\times4\)). This is a constant ratio (\(11\) per \(2\) fat, or \(5.5\) per \(1\) fat), so proportional. For option A, the protein values \(11, 24, 37, 50\) do not follow a constant ratio with fat (e.g., \(24\div4 = 6\), \(11\div2 = 5.5\) – inconsistent). So B has a proportional relationship.

Answer:

B.
Fat (g): 0, 2, 4, 6, 8
Protein (g): 0, 11, 22, 33, 44