A you-pick blueberry farm offers 6 lbs of blueberries for 16.50. Sketch a graph of the relation

step 1 We're given that we pick blueberries at a farm for six pounds of blueberries for $16 .50 per $6

A you-pick blueberry farm offers 6 lbs of blueberries for ...

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Key Concepts

Proportional Relationships

This concept refers to situations in which two quantities maintain a constant ratio. In the context of cost and weight, a proportional relationship means that as the weight increases, the cost increases at a constant rate, showing a direct multiplication factor between the two variables.

Unit Price (Cost Per Unit)

The unit price is the cost associated with one unit of measure (in this case, per pound). It acts as the constant of proportionality, allowing the determination of the total cost by multiplying the unit price by the number of units (pounds), which is critical in establishing the linear relationship.

Linear Functions

Linear functions describe relationships that can be graphed as straight lines. In this scenario, since the cost is directly proportional to the weight of the blueberries with no additional fixed charge, the relationship can be modeled by a linear equation of the form y = mx, where m represents the cost per pound.

Graphing Linear Equations

Graphing a linear equation involves plotting the dependent variable against the independent variable on a coordinate plane and drawing a straight line through the points. The slope of the line represents the rate of change between the quantities, and the line typically starts at the origin when there is no fixed starting cost.

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