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Read the description of a proportional relationship. $\newline$ As a young girl, Nicole enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Nicole builds wooden furniture for a living. Her most popular product is a cedar porch swing. There is a proportional relationship between the time (in days) Nicole spends making porch swings, $x$ , and the number of swings she builds, $y$ . $\newline$ It takes Nicole $10$ days to build $8$ swings. 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

As a young girl, Nicole enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Nicole builds wooden furniture for a living. Her most popular product is a cedar porch swing. There is a proportional relationship between the time (in days) Nicole spends making porch swings,

x

, and the number of swings she builds,

y

.

\newline

It takes Nicole

10

days to build

8

swings. Write the equation for the relationship between

x

and

y

.

\newline

y = \_

Identify constant: Identify the constant of proportionality by dividing the number of swings by the number of days.
Write equation: Write the equation of the proportional relationship using the constant of proportionality $k$ .

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