Final answer:
To calculate the value of y when x is 8, substitute 8 for x in the provided linear equation of the form y = a + bx, where a is the fixed entry fee and b is the cost per game. Without specific values for a and b, the actual calculation cannot be completed.
Step-by-step explanation:
The student is asking about finding the value of y when x is 8 based on a linear equation that describes the total cost of attending a county fair and playing games. This type of problem is encountered in algebra and involves understanding the relationship between two variables, x and y, where y is typically dependent on the value of x. Given linear equations similar to the specialty cleaning company example provided (y = 50 + 100x), we can deduce that the structure of the linear relationship is likely in the form of y = a + bx, where a is the fixed fee to enter the fair and b is the fixed amount to play each game.
To calculate the value of y when x is 8, we would substitute 8 for x in the linear equation. If, for instance, the equation is y = a + bx and we knew the values of a and b, the calculation would look like y = a + b(8).
Since specific values for a and b were not provided in the question, we cannot perform the actual calculation. However, the student would need to do this calculation using the given or determined a and b values from their line graph or equation to find the value of y.