Question

A rectangular field is x feet wide and x + 5 feet . The equation, y = 4x + 10 for the aperimeter of the field in feet. Explain if the relationship is tinear nonlinearand it is proportional or non proportional

Answer 1

The width of the field is x feet and the length is x + 5

Perimeter = 2(length + width) = 2(x + x + 5)

Perimeter = 4x + 10

In a linear relationship, the difference between consecutive terms is always constant. The length and the width are linear. The constant difference between the length and the width is 5 feet

For proportional relationships, an increase or decrease in one variable causes a proportional increase or decrease in another variable. The relationship is also proportional because an increase in the length and width would lead to a corresponding increase in the perimeter.