Question

miguel uses his phone primarily to take a lot of selfies. the storage space on his phone is limited, so miguel needs to keep track of how many selfies he takes. there is a proportional relationship between the number of selfies miguel takes, x, and the amount of storage (in megabytes) he uses taking selfies, y. x (selfies) y (megabytes) 10 18.4 15 27.6 20 36.8 25 46 what is the constant of proportionality? write your answer as a whole number or decimal. megabytes per selfie

Explanation:

Step1: Recall proportion formula

For a proportional relationship $y = kx$, the constant of proportionality $k=\frac{y}{x}$.

Step2: Calculate $k$ using one - pair of values

Let's take the first pair $x = 10$ and $y = 18.4$. Then $k=\frac{y}{x}=\frac{18.4}{10}=1.84$.
We can check with other pairs:
For $x = 15$ and $y = 27.6$, $\frac{y}{x}=\frac{27.6}{15}=1.84$.
For $x = 20$ and $y = 36.8$, $\frac{y}{x}=\frac{36.8}{20}=1.84$.
For $x = 25$ and $y = 46$, $\frac{y}{x}=\frac{46}{25}=1.84$.

Answer:

$1.84$