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Read the description of a proportional relationship. $\newline$ Kimi uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Kimi needs to keep track of how many selfies she takes. There is a proportional relationship between the number of selfies Kimi takes, $x$ , and the amount of storage (in megabytes) she uses taking selfies, $y$ . $\newline$ When Kimi takes $5$ selfies, they take up $10$ megabytes of storage. Write the equation for the relationship between $x$ and $y$ . $\newline$ $y = \_$

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Write and solve equations for proportional relationships

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Q. Read the description of a proportional relationship.

\newline

Kimi uses her phone primarily to take a lot of selfies. The storage space on her phone is limited, so Kimi needs to keep track of how many selfies she takes. There is a proportional relationship between the number of selfies Kimi takes,

x

, and the amount of storage (in megabytes) she uses taking selfies,

y

.

\newline

When Kimi takes

5

selfies, they take up

10

megabytes of storage. Write the equation for the relationship between

x

and

y

.

\newline

y = \_

Identify Given Values: Step $1$ : Identify the given values: $\newline$ Number of selfies, $x = 5$ $\newline$ Storage used, $y = 10$ megabytes $\newline$ Calculate the constant of proportionality, $k$ . $\newline$ $k = \frac{y}{x}$ $\newline$ $k = \frac{10}{5}$ $\newline$ $k = 2$
Calculate Constant of Proportionality: Step $2$ : Use the constant of proportionality to write the equation. $\newline$ Since $k = 2$ , the equation for the proportional relationship is: $\newline$ $y = kx$ $\newline$ $y = 2x$

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