Question

chase uses his phone primarily to take a lot of selfies. the storage space on his phone is limited, so chase needs to keep track of how many selfies he takes. there is a proportional relationship between the number of selfies chase takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. write an equation for the relationship between x and y. simplify any fractions. y =

Explanation:

Step1: Find the constant of proportionality

The equation for a proportional relationship is \(y = kx\), where \(k\) is the constant of proportionality.
We can use a point \((x,y)\) from the graph. Let's take the point \((3,5)\) (assuming a point - if we consider the general proportionality from the line passing through the origin). The formula for \(k\) is \(k=\frac{y}{x}\).
If we assume a point \((x = 3,y = 5)\) (by visual inspection of a proportional line - for a proportional relationship \(y=kx\) and when \(x = 3\), \(y = 5\) (approximate from the graph's trend, since for a proportional relationship \(y\) and \(x\) are related as \(y=kx\) and the line passes through \((0,0)\)). So \(k=\frac{5}{3}\)

Step2: Write the equation

Substitute \(k\) into the equation \(y = kx\).
The equation is \(y=\frac{5}{3}x\)

Answer:

\(y=\frac{5}{3}x\)