\(\text{y} = 2\text{x}\)

\(\text{y} = \text{x} + 1\)

\(\text{y} = 4\text{x} + 45\)

\(\text{x} = 4\text{y}\)

\(\text{y} = -2\text{x}\)

\(\text{x} = 0\)

\(\text{x} + \text{y} = -3\)

\(\text{y} = \text{x} + 3\)

\(\text{y} = \text{x} + 4\)

\(\text{y} = 0\)

\(\text{x} - \text{y} = 6\)

\(\text{y} = -1\)

The length of the rectangle is 3 meters more than the width. The perimeter is 26 meters. Write and solve a system of equations that represents this situation. What are the dimensions of the rectangle?

Model with Mathematics Ms. Corley wants to take her class on a trip to either the nature center or the zoo. The nature center charges $4 per student plus $95 for a 1-hour naturalist program. The zoo charges $9 per student plus $75 for a 1-hour guided tour.

a. Write a system of equations to represent the situation.

b. Solve the system of equations algebraically and by graphing. Interpret the solution.

c. Ms. Corley has 22 students in her class. Determine which would cost less, the nature center or the zoo.