Mrs. Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry.

Given that,

Julia completes a 20-mile bike ride in 1.2 hours.

The distance Julia covers is 20 miles and her time taken is 1.2 hours.

Therefore, Julia's speed = = 16.67 mph

Katie finishes the same 20-mile ride in 1.6 hours.

Katie’s distance is 20 miles and her time is 1.6 hours.

Hence, Katie's speed = = 12.5 mph

To determine how much faster Julia rides compared to Katie, subtract Katie’s speed from Julia’s speed.

Thus, 16.67 mph minus 12.5 mph equals 4.17 mph, approximately 4.2 mph.

Consequently, Julia cycles 4.2 mph faster than Katie.

Detailed breakdown:

For beef, we calculate 12 * 8 (since 25 * 8 gives 200)

Thus, beef totals = 96

For chicken, we find 8 * 8 (again, because 25 * 8 equals 200)

Hence, chicken totals = 64

For pasta, the calculation is 5 * 8 (as 25 * 8 = 200)

Thus, pasta totals = 40

Conclusion- C] There are 32 extra students preferring beef over those who choose chicken

The domain refers to all potential input values, specifically represented by the x-axis on a graph. Conversely, the range includes all possible output values, depicted along the y-axis.

The graph clearly extends horizontally from (-∞,∞) on the x-axis, indicating that its domain is (-∞,∞).

Similarly, it can be seen that the graph stretches vertically from (-∞,∞) on the y-axis, denoting that the range is also (-∞,∞).

This indicates the function includes an infinite array of values. Therefore, there are no limitations on either the domain or the range for this function.