At the supermarket you can fill your own honey bear...

At the supermarket you can fill your own honey bear container. A customer buys $120 z$ of honey for $$\$ 5.40.$$ a. How much does honey cost per ounce? b. How much honey can you buy per dollar? c. Write two different equations that represent this situation. Use $h$ for ounces of honey and $c$ for cost in dollars. d. Choose one of your equations, and sketch its graph. Be sure to label the axes.

At the supermarket you can fill your own honey bear container. A customer buys $120 z$ of honey for $$\$ 5.40.$$
a. How much does honey cost per ounce? b. How much honey can you buy per dollar? c. Write two different equations that represent this situation. Use $h$ for ounces of honey and $c$ for cost in dollars.
d. Choose one of your equations, and sketch its graph. Be sure to label the axes.

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Key Concepts

Linear Equations

This concept involves representing relationships between two quantities with a straight-line equation. In the context of the problem, one can express the cost as a function of the weight of honey, or vice versa, by using equations that incorporate the unit price.

Unit Pricing

This concept involves calculating the cost per individual unit (in this case, per ounce of honey) by dividing the total cost by the total quantity. It is a foundational idea in arithmetic and economics that aids in comparing prices and making cost-effective decisions.

Ratios and Proportions

Understanding ratios and proportions is key to relating the amount of honey to the cost. It involves setting up and manipulating relationships such as how many units of a product you can get per dollar, which is essentially the inverse of the unit price.

Graphical Representation of Linear Relationships

Graphing the linear equation provides a visual interpretation of the relationship between cost and quantity. Key components of this concept include the slope, which represents the unit price or rate, and the intercept, which shows the starting point of the relationship when one of the variables is zero.

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