To determine the truth value of the statements based on the given equation and information about beach chair rentals, we'll analyze each statement one by one.
-
The equation for the line that best fits this data is y=1003x+100.
- False: The equation given is likely a typographical error since no slope can realistically be calculated as 1003 in this context, and it would create an unrealistic linear relationship with such a large slope. A more typical relationship would have a smaller slope (e.g., around $100 increase per every few degrees).
-
Beach chair rentals go up $100 for every 3 degrees higher in temperature.
- True: If we assume a linear relationship, it implies that for each increase of 3 degrees, the revenue from rentals would increase by $100. This means the slope of the line would equal $100/3 degrees.
-
If the temperature is around 28 degrees, then you could make about $900 in beach chair rentals.
- True (assuming): If we take the provided equation (which may contain errors as previously stated), we can substitute 28 for x to estimate y (rental income).
However, without knowing the context of the equation or the intercept of the model, we don't have enough information to definitively conclude that the resulting value will be $900. If we assume the intercept (100) serves as a starting point and based on an increase attributed to temperature (if applicable), this could be true.
- True (assuming): If we take the provided equation (which may contain errors as previously stated), we can substitute 28 for x to estimate y (rental income).
To summarize:
- False
- True
- True (with some assumptions)