Companies were in competition with each other. They began the same year. The equation representation for
each company is below. The variable y represents the
number of employees. The variable x represents the
years after the start of the companies.

XYZ Company: y = 3x +24
ABC Company: y = 4x +10

• XYZ Company states, "We hired 42 employees, the
same number as ABC Company has this year." Is
XYZ Company's statement possible? Show math
work to explain your reasoning.

• ABC Company states, "In 15 years, our company will
have the same number of employees as XYZ
Company." Is ABC Company's statement possible?

Show math work to explain your reasoning.