Final answer:
The correct answer is Option A, where the slope is the daily weight gain of 0.2 kg, and the y-intercept is 37.2 kg, representing Julio's weight at the starting point (day 0).
Step-by-step explanation:
The question involves determining the slope and y-intercept of a linear relationship between weight and time, given that Julio plans to gain 0.2 kg per day, and after 14 days, he weighs 40 kg. To find the slope, we calculate the change in weight divided by the change in time. Since Julio gains 0.2 kg per day, the slope is 0.2. To find the y-intercept, we extrapolate back to day 0. After 14 days, he is at 40 kg, which means he was at 40 - (0.2 kg/day * 14 days) = 40 - 2.8 = 37.2 kg at day 0. Therefore, the y-intercept is 37.2.
The correct answer to this question is: Slope = 0.2, Y-intercept = 37.2.