Question

7th Grade Unit IV Performance Task (Proportional Relationships - Produce Stands)

Answer 1

Al's and  Barbara's produce stands are illustrations of proportional relationships

• The unit rate at Al’s Produce Stand is 0.25, and the unit rate at Barbara’s Produce Stand is 0.24
• The equation at Al’s Produce Stand is y = 0.25x, and the equation at Barbara’s Produce Stand is y = 0.24x

Step 1: The constant of proportionality

From the question, we have the following ordered pairs

• Al’s Produce Stand: (x, y) = (6,1.50)
• Barbara’s Produce Stand: (x, y) = (13,3.12)

The unit rate is calculated as:

$k = \frac yx$

So, we have:

Al

$k = \frac{1.50}{6}$

$k = 0.25$

Barbara

$k = \frac{3.12}{13}$

$k = 0.24$

Hence, the unit rate at Al’s Produce Stand is 0.25, and the unit rate at Barbara’s Produce Stand is 0.24

Step 2: The equation

This is represented as

$y = kx$

So, we have:

Al

$y = 0.25x$

Barbara

$y = 0.24x$

Hence, the equation at Al’s Produce Stand is y = 0.25x, and the equation at Barbara’s Produce Stand is y = 0.24x

Step 3: The missing values

This cannot be determined, as the table is not properly formatted

Read more about proportional equations at:

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