Evaluate a $\$12$ intercept as cost at $0~\text{service}~\text{hours}$ for a babysitting model covering bookings of $0\text{--}6~\text{hours}$. State the contextual condition required for the intercept to be reasonable.

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The $12 intercept means that the service charges $12 for each hour of care.

The $12 intercept is reasonable without considering whether the service has a fixed fee.

Zero service hours is in the modeled range, and a $12 intercept is reasonable only if the service charges a fixed booking fee.

Zero service hours is in the modeled range, so the cost must be $0 regardless of any booking fee.

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Curriculum context

Course: Math I
Standard: S-ID.7
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Interpret slope and intercept of a linear model in the data context.
Problem type: Decide whether an intercept interpretation is reasonable