Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.
- Initially, the dog is 5 feet underground.
- Each minute, the dog goes 2 more feet underground.
Hence, the underground height of the dog after t seconds is given by:
[tex]h(t) = 5 + 2t[/tex]
The time it takes for the dog to reach 13 feet underground is t for which h(t) = 13, hence:
[tex]h(t) = 5 + 2t[/tex]
[tex]13 = 5 + 2t[/tex]
[tex]2t = 8[/tex]
[tex]t = \frac{8}{2}[/tex]
[tex]t = 4[/tex]
It takes 4 min for the prairie dog to reach 13 feet underground.
A similar problem is given at brainly.com/question/25290003
