Question

thursday:

1. for the resolution \improve fitness,\ what is the difference in percentage between adults aged 18–25 and those aged 42–57?
2. the percentage of people who want to \lose weight\ increases from 31% (ages 18–25) to 41% (ages 42–57). what is the percent increase from the youngest to the oldest group?

percent increase/decrease
percent increase = \frac{\text{new value} - \text{old value}}{\text{old value}}
percent decrease = \frac{\text{new value} - \text{old value}}{\text{old value}}

1. for the resolution \improve mental health,\ the percentages are 50% (18–25), 49% (26–41), and 39% (42–57).what is the average percentage across the three age groups?

Explanation:

Problem 1: (Assuming we need to find the difference, but we need the percentage for 18 - 25 for "Improve fitness". Since it's not given, maybe it's a typo or missing. But let's assume for problem 2 and 3 we can solve.)

Problem 2:

Step 1: Identify values

New value (ages 42 - 57) = 41%, Old value (ages 18 - 25) = 31%

Step 2: Apply percent increase formula

Percent Increase = $\frac{41 - 31}{31} \times 100\%$ = $\frac{10}{31} \times 100\% \approx 32.26\%$

Step 1: Identify percentages

Percentages: 50% (18 - 25), 49% (26 - 41), 39% (42 - 57)

Step 2: Calculate average

Average = $\frac{50 + 49 + 39}{3}$ = $\frac{138}{3}$ = 46%

Answer:

Approximately $32.26\%$

Problem 3: