Explanation:
To determine if the point (6.5, $17.50) makes sense for the function g(x), we need to check if it satisfies the relationship described by the function.
The function g(x) represents the amount of money spent in dollars, where x is the number of movies. So, g(x) is a function that gives the total cost of renting x movies.
The possible solution (6.5, $17.50) means that when 6.5 movies are rented, the total cost is $17.50.
However, it is not possible to rent 6.5 movies because the number of movies rented must be a whole number (you can't rent half a movie). Therefore, the point (6.5, $17.50) does not make sense for this function.
In this case, we could round the number of movies to the nearest whole number, either up or down, and then find the corresponding cost. For example, if Jade rented 6 movies (rounding down), the total cost would be $17.50. Or if Jade rented 7 movies (rounding up), the total cost would be different. But using a decimal value like 6.5 movies does not make sense in the context of renting whole movies.