Question

rita started planking to help with her strength training. starting on day 0, she recorded the day, x, and how many seconds she could hold a plank pose, y. then, she estimated a line of best fit. the line of best fit has a slope of 3.2 and a y-intercept of 48. based on this information, evaluate each statement. chart with four statements and true/false columns: 1. on day 30, rita was able to hold a plank pose for around 126 seconds. 2. rita could initially hold a plank pose for about 48 seconds. 3. every day, rita was able to add approximately 3.2 seconds to her time. 4. rita was able to hold a plank pose for roughly 136 seconds after two weeks.

Explanation:

Step1: Define the line equation

The line of best fit is $y = 3.2x + 48$, where $x$ = day, $y$ = plank time (seconds).

Step2: Evaluate statement 1

Substitute $x=30$: $y = 3.2(30) + 48 = 96 + 48 = 144 ≠ 126$. So False.

Step3: Evaluate statement 2

Initial time is $x=0$: $y = 3.2(0) + 48 = 48$. So True.

Step4: Evaluate statement 3

Slope = 3.2 means daily increase ≈3.2 seconds. So True.

Step5: Evaluate statement 4

Two weeks = 14 days. Substitute $x=14$: $y = 3.2(14) + 48 = 44.8 + 48 = 92.8 ≠136$. So False.

Answer:

1. On day 30, Rita was able to hold a plank pose for around 126 seconds: False
2. Rita could initially hold a plank pose for about 48 seconds: True
3. Every day, Rita was able to add approximately 3.2 seconds to her time: True
4. Rita was able to hold a plank pose for roughly 136 seconds after two weeks: False