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Two rival companies began the same year. The equations below model the number of employees, y, at these companies x years after the companies began.

Company R: y = 3x + 24

Company T: y= 4x + 10

Company R stated, “We have 42 employees, the same number of employees as company T has this year.” Determine if company R’s claim is possible. Explain your reasoning.

Company T stated, “After 15 years, we will have the same year of employees as company R.” Determine if company T’s claim is possible. Explain your reasoning.

Respuesta :

Answer:

Both the claims by the companies are not possible.

Step-by-step explanation:

Equations modeling number of employees 'y' after 'x' years of the start are,

For company R: y = 3x +24

For company T: y = 4x + 10

If Company R states that this year they have 42 employees,

42 = 3x + 24

3x = 42 - 24

x = [tex]\frac{18}{3}[/tex]

x = 6 years

So company has completed 6 years this year.

Now we put x = 6 years in the equation for company T.

y = (4×6) + 10

y = 24 + 10

y = 34

Which doesn't match with the number of employees of the company R.

Therefore, claim of company R is not possible.

Company T stated that after 15 years they will have the same number of employees as company R.

For company T : y = 4(15) + 10

                           y = 70 employees

For company R : y = 3(15) + 10

                           y = 45 + 10

                          y = 55 employees

Therefore, claim of the company T is also not possible.

abidemiokin
  • Since 14 ≠ 42 that company R claimed, hence the company does not have the same number of employees as company T has this year.
  • Since 14 ≠ 15 that company T also claimed, hence the company does not have the same number of employees as company T has this year.

Functions and values

Given the equations that model the number of employees y, at these companies x years after the companies began expressed as:

Company R: y = 3x + 24

Company T: y= 4x + 10

If both companies has the same number of employees, then;

3x + 24 = 4x + 10

3x - 4x = 10 - 24

-x = -14

x = 14

Since 14 ≠ 42 that company R claimed, hence the company does not have the same number of employees as company T has this year.

Functions and values

Given the equations that model the number of employees y, at these companies x years after the companies began expressed as:

Company R: y = 3x + 24

Company T: y= 4x + 10

If both companies has the same number of employees, then;

3x + 24 = 4x + 10

3x - 4x = 10 - 24

-x = -14

x = 14

Since 14 ≠ 42 that company R claimed, hence the company does not have the same number of employees as company T has this year.

Since 14 ≠ 15 that company T also claimed, hence the company does not have the same number of employees as company T has this year.

Learn more on functions here; https://brainly.com/question/10439235

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