Question

Details in the picture for the entree show 250 calories per entree, or 31.25 calories per nugget. The menu picture for a party tray of nuggets claims each nugget is 30 calories. This is because the actual calorie per nugget varies up to 3 calories depending on size. Write and solve an absolute value equation to illustrate the range of possible calories in each chicken nugget if the ideal calorie count for each nugget is 30.

A) |x - 30| ≤ 3
B) |x - 30| ≥ 3
C) |x - 3| ≤ 30
D) |x - 3| ≥ 30

Answer 1

The equation representing the calorie range for chicken nuggets is |x - 30| ≤ 3, with a solution showing that each nugget contains between 27 and 33 calories.

Step-by-step explanation:

The correct absolute value equation to illustrate the range of possible calories in each chicken nugget if the ideal calorie count for each nugget is 30 is A) |x - 30| ≤ 3. This equation shows that the number of calories per nugget (x) can be within 3 calories more or less of the ideal 30 calories.

To solve this, you break it into two cases:
1. x - 30 ≤ 3, which simplifies to x ≤ 33.
2. x - 30 ≥ -3, which simplifies to x ≥ 27.

Therefore, the range of possible calories for each nugget is between 27 and 33 calories.