What is a reasonable domain and range for 12x + 15y = 120?

Answer 1

Hi Conner,

12x+ 15y = 120 can be simplified to:

4x+ 5y = 40

y = - 4x/5 + 8

This is a linear function with a domain and range of all real numbers. Linear functions tend to have a domain and range of all real numbers unless the function is specified for a certain x or y value. (Ex: y = 2x+4 for x>3)

A domain of all real numbers means that you could input any real number into this function as x and produce a legitimate y value. A range of all real numbers means that you could produce a y value of any real number from this equation.

Answer 2

x < 10

y < 8