Question 14 SALAD The cost for a salad depends on its weight, $$ x $$, in ounces, and is described by $$ c(x)=4.5+0.32 x $$. Describe how $$ c(x) $$ is related to its parent function and interpret the function in the context of the situation. Compressed Select Choice $$ ~ $$ by a factor of 0.32 and translated Select Choice 4.5 ; There is a Select Choice $$ v 4.50 $$ and a Select Choice $$ ~ \$ 0.32 $$ per ounce.

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The function $$ c(x) $$ is translated vertically by 4.5 units and has a slope of 0.32, indicating a base cost of $4.50 and an additional cost of $0.32 per ounce. The function $$ c(x) = 4.5 + 0.32x $$ describes the cost of a salad based on its weight $$ x $$ in ounces. 1. **Relation to Parent Function**: The parent function here is a linear function of the form $$ f(x) = mx + b $$, where $$ m $$ is the slope and $$ b $$ is the y-intercept. In this case, the function $$ c(x) $$ is related to the parent function by being translated vertically by 4.5 units (the y-intercept) and having a slope of 0.32. 2. **Interpretation in Context**: - The term $$ 4.5 $$ represents a fixed cost for the salad, which can be interpreted as a base price for the salad regardless of its weight. - The term $$ 0.32 $$ represents the additional cost per ounce of salad. This means that for every ounce of salad, the cost increases by $0.32. Putting it all together, we can say: - The function $$ c(x) $$ is translated vertically by 4.5 and has a slope of 0.32, indicating that there is a base cost of $4.50 and an additional cost of $0.32 for each ounce of salad.

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