This data was taken from an unbiased study of beach chair rentals. Determine if the statements below are true or false. (3 points) True False The equation for the line that best fits this data is y=1003x+100 True – The equation for the line that best fits this data is y is equal to 100 thirds x plus 100 False – The equation for the line that best fits this data is y is equal to 100 thirds x plus 100 Beach chair rentals go up $100 for every 3 degrees higher in temperature True – Beach chair rentals go up $100 for every 3 degrees higher in temperature False – Beach chair rentals go up $100 for every 3 degrees higher in temperature If the temperature is around 28 degrees, then you could make about $900 in beach chair rentals True – If the temperature is around 28 degrees, then you could make about $900 in beach chair rentals
In order to determine if the statements provided are true or false, we need to analyze the given equation and the relationship between beach chair rentals and temperature.
Statement 1: True - The equation for the line that best fits this data is y = 1003x + 100.
To verify this statement, we need to look at the given equation and see if it accurately represents the relationship between the variables in the dataset. The equation shows that for every unit increase in x (temperature), there is a corresponding increase of 1003 units in y (beach chair rentals). This aligns with the statement, so it is true.
Statement 2: False - The equation for the line that best fits this data is y = 100/3x + 100.
Similar to the previous statement, we need to evaluate the equation provided. However, this equation is different from the first one, as it now shows a fraction (100/3) multiplying x. Since it does not align with the given equation and the relationship between the variables, this statement is false.
Statement 3: True - Beach chair rentals go up $100 for every 3 degrees higher in temperature.
To determine the accuracy of this statement, we need to observe the relationship between beach chair rentals and temperature. If the data supports the fact that rentals increase by $100 for every 3 degrees higher in temperature, then the statement is true.
Statement 4: True - If the temperature is around 28 degrees, then you could make about $900 in beach chair rentals.
To confirm the correctness of this statement, we need to check the dataset and see if the value of y (beach chair rentals) at approximately 28 degrees corresponds to around $900. If there is evidence supporting this claim, then the statement is true.
In summary:
Statement 1: True
Statement 2: False
Statement 3: True
Statement 4: True