Question

turner uses his phone primarily to take a lot of selfies. the storage space on his phone is limited, so turner needs to keep track of how many selfies he takes. there is a proportional relationship between the number of selfies turner takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. x (selfies) 5 15 20 25 y (megabytes) 9.4 28.2 37.6 47 write an equation for the relationship between x and y. simplify any fractions.

Explanation:

Step1: Find the constant of proportionality

For a proportional relationship $y = kx$, we can find $k$ using any pair of $(x,y)$ values. Let's use $x = 5$ and $y=9.4$. Then $k=\frac{y}{x}=\frac{9.4}{5}=1.88$.

Step2: Write the equation

Since $k = 1.88$, the equation for the proportional - relationship between $x$ (number of selfies) and $y$ (storage in megabytes) is $y=1.88x$.

Answer:

$y = 1.88x$