Question

claire fills a jar with homemade granola to give as a gift. the graph shows the total weight of the gift, y, as a function of the amount of granola in the jar, x. initial value: 10, weight (oz) of empty jar what does the slope mean in this situation? the total weight? with every 1 cup of granola added to the jar.

Explanation:

Step1: Recall slope - concept

The slope of a linear function represents the rate of change. In a situation where \(y\) is the total weight and \(x\) is the amount of granola, the slope shows how \(y\) changes with respect to \(x\).

Step2: Analyze the given situation

We know that the amount of granola is \(x\) (in cups) and the total weight is \(y\). The slope is 5. This means for every 1 - unit increase in \(x\) (1 cup of granola added), \(y\) (the total weight) changes by 5 units.

Answer:

increases by 5 oz