The equation y = 9.56x + 495.35 represents the number of calories, y, consumed in one day based on a person’s weight, x. Jill consumes 1850 calories daily. Jaxon weighs 120 pounds. Which is an accurate comparison?

Jill weighs about 20 pounds more than Jaxon.
Jaxon weighs about 20 pounds more than Jill.
Jill consumes about 20 more calories than Jaxon.
Jaxon consumes about 20 more calories than Jill.

1 answer

To compare Jill’s calorie consumption with Jaxon’s based on his weight, we first need to find Jaxon’s calorie consumption using the given equation \( y = 9.56x + 495.35 \).

  1. Calculate Jaxon's calories: \[ x = 120 \text{ pounds} \] \[ y = 9.56(120) + 495.35 \] \[ y = 1147.2 + 495.35 \] \[ y = 1642.55 \] So, Jaxon consumes approximately 1642.55 calories daily.

  2. Jill’s calorie consumption: Jill consumes 1850 calories daily.

  3. Comparison of calorie consumption: Now, let's compare their calorie consumptions: \[ 1850 - 1642.55 = 207.45 \] Jill consumes about 207.45 more calories than Jaxon.

  4. Weight comparison: Since we do not have Jill's weight, we cannot compare their weights directly based on the information given.

Conclusion:

The accurate statement from the options provided is that Jill consumes about 20 more calories than Jaxon. (Although the exact difference is actually about 207.45 calories, which is significantly more than 20). Therefore, none of the provided comparisons perfectly match, but the closest option regarding calorie consumption is: "Jill consumes about 20 more calories than Jaxon."