Question

the number of participants in super Athlete triathlon (swim 2.4 miles, bike 112 miles,and run 26.2 miles is modeled by the equation p=2t^2-4t +874 where p is the number of participants at t years since 2010. use the equations to find the predicted number of particpants in 2024

Answer 1

Given:

The equation to estimate the number of participants is,

$p=2t^2-4t+874$

Explanation:

Determine the value of t for year 2024.

$\begin{gathered} t=2024-2010 \\ =14 \end{gathered}$

Substitute 14 for t in the equation and determine the value of p.

$\begin{gathered} p=2\cdot(14)^2-4\cdot14+874 \\ =392-56+874 \\ =1210 \end{gathered}$

So predicted number of participants in year 2024 is 1210.