Question

12 a zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. the table and scatterplot show the percentage of the baby rhinoceros’s body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks. baby rhinoceros feeding schedule age (weeks) 1 2 4 7 9 12 14 15 17 20 percentage of body mass 20 19.5 17 15 14 13.5 12.4 11.6 11 9 what is the best prediction of the percentage of the baby rhinoceros’s body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old? f 8.5% g 6% h 2.3% j 10% two customers went to a post office to buy postcards and large envelopes. each postcard costs the same amount, and each large envelope costs the same amount. - the first customer paid $12 for 14 postcards and 5 large envelopes. - the second customer paid $24.80 for 10 postcards and 15 large envelopes. what was the cost in dollars of each large envelope? 14x + 5y = 12 10x + 15y = 24.80

Explanation:

Step1: Calculate the slope

Use two points: (1,20) and (20,9). Slope $m = \frac{9-20}{20-1} = \frac{-11}{19} \approx -0.5789$

Step2: Find the linear equation

Use point-slope form with (1,20): $y - 20 = -0.5789(x - 1)$ → $y \approx -0.5789x + 20.5789$

Step3: Predict at 25 weeks

Substitute $x=25$: $y \approx -0.5789(25) + 20.5789 \approx -14.4725 + 20.5789 \approx 6.1064$ (closest to 6%)

Answer:

G. 6%