Answer:
c) 0 ≤ x ≤ 3.
Explanation:
To determine the domain of the function h(t) = -5t^2 + 15t, we need to identify the values of t for which the function is defined.
Looking at the graph description, we can see that the parabola starts at (0, 0) and ends at (3, 0). This means that the bridge is supported from t = 0 to t = 3.
Therefore, the domain of h(t) is from t = 0 to t = 3, or in interval notation: 0 ≤ t ≤ 3.
However, in the given answer options, the variable is referred to as x instead of t. Therefore, the correct option would be:
c) 0 ≤ x ≤ 3.

♥️
