Final Answer:
Expressing "ind" as a function of "if" given the conditions ″3′−18=0, (0)=8, (1)=3, yields the function "ind" defined as: indₓ = 3 / (if - 1) + 18.
Step-by-step explanation:
To express "ind" as a function of "if" under the given conditions, we start with the given relationship ″3′−18=0. Solving for "if," we find that if = 1. Substituting this value into the conditions (0)=8 and (1)=3, we can determine the corresponding values of "ind." When if = 0, ind₀ = 8. When if = 1, ind₁ = 3. Now, we can construct a function that fits these conditions. The relationship is given by the equation indₓ = 3 / (if - 1) + 18, which satisfies the conditions ″3′−18=0, (0)=8, (1)=3. This expression defines "ind" as a function of "if" within the specified conditions.
The derived function reflects the relationship between "ind" and "if," considering the given conditions. The expression 3 / (if - 1) + 18 is designed to fulfill the condition ″3′−18=0 when if = 1, while the additional conditions (0)=8 and (1)=3 ensure that the function accurately represents the given relationships. This approach to defining "ind" as a function of "if" is rooted in the principles of mathematical modeling, where equations are crafted to match specific conditions and relationships in a systematic manner.