Question

alexis walked for 14 minutes from home to the park, which are 1.35 miles apart.
let $f(t)$ model alexiss remaining distance while walking to the park, $t$ minutes after leaving home.
write the domain of $f(t)$ as an inequality.

show your work here

hint: to add inequalities (<, >, ≤, ≥), type \less\ or \greater\

Explanation:

Step1: Determine the minimum value of \( t \)

The time \( t \) starts when Alexis leaves home, so \( t \) cannot be negative. Thus, \( t \geq 0 \).

Step2: Determine the maximum value of \( t \)

Alexis takes 14 minutes to walk from home to the park. So the maximum value of \( t \) is 14 (when she reaches the park). Thus, \( t \leq 14 \).

Step3: Combine the inequalities

Combining the two inequalities from Step 1 and Step 2, we get \( 0 \leq t \leq 14 \).

Answer:

\( 0 \leq t \leq 14 \)