Question

3 the equation $g(120) = 4$ can be interpreted to mean: \on day 2, 120 seconds after the dog owner left, the dog was 4 feet from the post.\ what does each equation mean in this situation? a. $h(40) = 4.6$ b. $f(t) = 5$ c. $g(t) = d$

Explanation:

Part a

Following the interpretation of \( g(120) = 4 \) (where the input is time in seconds and output is distance in feet, with \( g \) related to Day 2), for \( h(40)=4.6 \), we assume \( h \) is a function for a specific day (like Day 3 or another day), 40 seconds after the owner left, the dog (or relevant object) is 4.6 feet from the post.

For \( f(t) = 5 \), \( t \) is time in seconds, and the output is distance. So it means at \( t \) seconds after the owner left (on the day associated with \( f \)), the dog is 5 feet from the post.

For \( g(t)=d \), \( t \) is time in seconds (after the owner left on Day 2, as \( g \) was for Day 2), and \( d \) is distance. So it means on Day 2, \( t \) seconds after the dog owner left, the dog was \( d \) feet from the post.

Answer:

On the day associated with function \( h \), 40 seconds after the dog owner left, the dog was 4.6 feet from the post.

Part b