Final answer:
To find the length of the orange goldfish, solve the equation 2x + 3 = 11 by first subtracting 3 from both sides and then dividing by 2, resulting in x = 4 inches. Option c is correct.
Step-by-step explanation:
The question asks us to find the length of the orange goldfish in Tia's pond given that her white goldfish is 11 inches, which is 3 inches more than twice the length of the orange goldfish.
The equation provided to represent this scenario is 2x + 3 = 11, with x representing the length of the orange goldfish.
To find x, we need to solve the equation:
Subtract 3 from both sides of the equation:
2x + 3 - 3 = 11 - 3,
simplifying:
2x = 8.
Divide both sides by 2:
x=4
Therefore, the length of the orange goldfish is 4 inches, which corresponds to answer choice (c).
Complete question:
Tia has a goldfish pond in her backyard. She has a white goldfish that is 11 inches long. This is 3 inches more than twice the length of her orange goblfish. Th represented by the equation, where x is the length of the orange goldfish, in inches. 2x+3=11 What is the length of the orange goldfish?
(A) 2.2 inches
(B) 2.5 inches
(C) 4 inches
(D) 7 inches