A town planner creates plans for a new water tower. The tower is 96 feet tall and the tank is circular with a diameter of 64 feet. 1. The engineer builds a model of the tower with a scale of 1 inch : 8 feet. What are the dimensions of the model?
2. Suppose the engineer decides to build a second model such that the height of model is 30 inches. What is the scale for the model?

Answer Choices
a. The model is 8 inches tall and 613 inches in diameter.
The scale of the second model is 1 inch : 312 feet.
b. The model is 12 inches tall and 513inches in diameter.
The scale of the second model is 1 inch : 316 feet.
c. The model is 14 inches tall and 512 inches in diameter.
The scale of the second model is 1 inch : 38 feet.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24