Question

lesson 13: absolute value functions (part 1)
cool down: almond bags
bags of almonds from a food producer are advertised to weigh 500 grams each. twenty bags of almonds are weighed.
the scatter - plot shows the absolute error between the actual weight and the advertised weight of those bags.

1. estimate the largest absolute error.

what was the weight of that bag?

1. another bag weighed 495.3 grams.

what was its absolute error?

Explanation:

Step1: Identify largest error on plot

By observing the scatter - plot, the largest absolute error value on the y - axis is 12 grams.

Step2: Find weight corresponding to largest error

Looking at the x - axis value for the point with the largest y - value (12 grams error), the weight is approximately 515 grams.

Step3: Calculate absolute error for 495.3 grams bag

The advertised weight is 500 grams. The formula for absolute error is $| \text{actual weight}-\text{advertised weight}|$. So, for a bag weighing 495.3 grams, the absolute error is $|495.3 - 500|=4.7$ grams.

Answer:

1. The largest absolute error is 12 grams and the weight of that bag is approximately 515 grams.
2. The absolute error of the bag weighing 495.3 grams is 4.7 grams.