To analyze the provided equation \( p = 32 - 2d \), where \( p \) is the amount of people in the park and \( d \) is the number of days after July 1st, let's evaluate each statement:
A. The number of people that visit the park is increasing by 32 each day starting on July 2nd.
- This statement is false. The equation shows that the number of people is decreasing as \( d \) increases, not increasing.
B. The number of people that visit the park is decreasing by 2 each day since July 1st.
- This statement is true. As \( d \) increases by 1 each day, \( p \) decreases by 2, indicating that the number of people in the park is decreasing by 2 each day.
C. There are 32 people that visited the park on July 2nd.
- On July 2nd, \( d = 1 \). Plugging \( d \) into the equation gives \( p = 32 - 2(1) = 30 \). Therefore, this statement is false.
D. There were 2 people that visited the park on July 1st.
- On July 1st, \( d = 0 \). Plugging this into the equation gives \( p = 32 - 2(0) = 32 \). Therefore, this statement is false.
Based on this analysis, the correct answer is:
B. The number of people that visit the park is decreasing by 2 each day since July 1st.