Question

Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to represent the relationship between p, Chelsea's average pace last month, and n, Chelsea's new average pace.

Answer 1

Two different equations that represent the relationship between Chelsea's initial average pace (p) and her new average pace (n) after a 12% decrease are n = p - 0.12p (which simplifies to n = 0.88p) and n = p × (1 - 0.12) (also simplifying to n = 0.88p).

Step-by-step explanation:

To represent the relationship between Chelsea's average pace last month (p) and her new average pace this month (n) after a 12% decrease, we can write two different equations:

1. n = p - 0.12p, which simplifies to n = 0.88p.
2. n = p × (1 - 0.12), which also simplifies to n = 0.88p.

Both equations take into account the 12% reduction in Chelsea's average pace.