Question

sam uses his phone primarily to take a lot of selfies. the storage space on his phone is limited, so sam needs to keep track of how many selfies he takes. this graph shows the relationship between the number of selfies sam takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. do x and y have a proportional relationship?

Explanation:

Step1: Recall proportional relationship rules

A proportional relationship has a graph that passes through the origin \((0,0)\) and the ratio \(\frac{y}{x}\) is constant for all points.

Step2: Check if graph passes through origin

The graph starts at \((0,0)\), so it passes through the origin.

Step3: Check constant ratio \(\frac{y}{x}\)

• For \(x = 10\), \(y = 20\): \(\frac{y}{x}=\frac{20}{10} = 2\)
• For \(x = 25\), \(y = 50\): \(\frac{y}{x}=\frac{50}{25}=2\)
• For \(x = 40\), \(y = 80\): \(\frac{y}{x}=\frac{80}{40} = 2\)

The ratio \(\frac{y}{x}\) is constant (\(2\)) for all these points.

Answer:

Yes, \(x\) and \(y\) have a proportional relationship.