Subjects algebra

Relation Domain Range 471Cd8

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1. The problem is to understand the relation between time spent babysitting (hours) and amount earned (dollars) from the given data points and graph. 2. A relation is a set of ordered pairs $(x,y)$ where $x$ is from the domain (input) and $y$ is from the range (output). 3. From the table and graph, the ordered pairs are: - Jordan: $(1,10)$ - Eliza: $(3,20)$ - Reynaldo: $(3,30)$ - Chantel: $(4,40)$ - Lee: $(6,50)$ 4. The domain is the set of all first numbers (hours): $\{1,3,4,6\}$ (note $3$ appears twice but counted once). 5. The range is the set of all second numbers (amount earned): $\{10,20,30,40,50\}$. 6. The graph is a scatter plot showing these points, illustrating how amount earned increases with hours babysat, but not necessarily at a constant rate since two people babysat 3 hours but earned different amounts. 7. This shows the relation is not a function because one input (3 hours) maps to two different outputs (20 and 30 dollars). Final answer: - Domain: $\{1,3,4,6\}$ - Range: $\{10,20,30,40,50\}$ - Relation is not a function because $3$ maps to two different values.