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.

y=x+9

?

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.