Question

A contractor has 75 feet of safety rail. The foreman is going to install it in such a way that the work area is divided into two congruent rectangles. The equation a(s) = 37.5s - 1.5s^2 models the function represented in the table. Fill in the blank to complete the restricted domain of the function. D = {0 ≤ s ≤ ____}

A) 10 feet
B) 15 feet
C) 20 feet
D) 25 feet

Answer 1

The equation a(s) = 37.5s - 1.5s^2 models the function for the contractor's safety rail installation. To complete the restricted domain, we need to find the value of s that satisfies 0 ≤ s ≤ ____. By solving the equation 37.5s - 1.5s^2 = 75, we can determine the value of s.

Step-by-step explanation:

The equation a(s) = 37.5s - 1.5s^2 represents the function that models the restricted domain of a contractor's safety rail installation. To complete the restricted domain, we need to find the value of s that satisfies 0 ≤ s ≤ ____. The restricted domain represents the valid range of values for s in the function.

To find the blank value, we need to determine the values of s that satisfy the given equation. The equation models the length of the safety rail, which is 75 feet. So, we can set up the equation as:

37.5s - 1.5s^2 = 75

By solving the equation, we can find the value of s that completes the restricted domain.