Home > Algebra > Applications Using Linear Models

You have the choice of accepting one of two jobs. The first job pays a $200 weekly base salary and 15% of all sales. The second job pays a $300 weekly base salary and 10% of all sales. How much sales do you need for both jobs to pay the same?

Answer 1

Abigail Allen

At #$2,000# of sales both jobs will pay the same, #$500# per week.

Let #x# = Sales.

Then to find where they are equal solve the equation:

#200 + ( x * 0.15) = 300 + (x * 0.10)#

#(x * 0.15) - (x * 0.10) = 300 - 200#

#x * 0.05 = 100#

#x = 100 / 0.05#

#x = $2,000#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Kennedy Adams

You would need to solve the equation 200 + 0.15x = 300 + 0.10x, where x represents the amount of sales. By solving for x, you'll find the amount of sales needed for both jobs to pay the same.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.