Question

Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Company B offers her a position with a salary of $29,000 plus a $20 commission for each television she sells. How many televisions would Amara need to sell for the options to be equal?

Answer 1

Answer:

Amara needs to sell 150 televisions to make both options earnings equal.

Step-by-step explanation:

Let the number of television sold be = x

For company A:

Salary is $17,000 plus a $100 commission for each television she sells.

Equation becomes:

$f(x)=17000+100x$

For company B :

Salary is $29,000 plus a $20 commission for each television she sells.

Equation becomes:

$f(x)=29000+20x$

So, to calculate how many televisions would Amara need to sell for the options to be equal, we will equal both the equations.

$17000+100x=29000+20x$

=> $100x-20x=29000-17000$

=> $80x=12000$

x = 150

So, Amara needs to sell 150 televisions to make both options earnings equal.

We can check this :

$17000+100(150)=29000+20(150)$

=> $17000+15000=29000+3000$

=> $32000=32000$

Answer 2

Answer:

150

Step-by-step explanation:

Given that;

Company A offers;

Salary= $ 17000

commission= $100 per tv set

Company B offers;

Salary= $29000

Commission = $ 20 per tv set

Let the number of tv set sold to be= x

To solve this problem, the amount obtained after selling for A option should be equal to B option

Form equations

$17000 +100 x = 29000 + 20x\\\\\\100x-20x= 29000-17000\\\\\\80x=12000\\\\\\x=12000/80 = 150$

The number of televisions sold for the options to be equal = 150