Ron is offered a sales job directly out of college. he has a choice as to how he will recive his salary the first year. salary plan 1: he would receive a base pay of $2000 per month plus a 3% commission on each sale. salary plan 2: no base pay but a 6% commission on each sale. suppose ron's salary goal for the year is $50,000. if the aerage sale in his company is $60,000, how many sales would ron have to make over the course of the year too meet his goal under each plan?

Plan 1: 15

Plan 2: 14

Step-by-step explanation:

Let Ron have to make x numbers of sales of average value $60000, to achieve his target of $ 50000 salary per year in plan 1.

Plan 1 gives a 3% commission on each sale plus $2000 per month.

So,

⇒ 1800x = 26000

⇒ x = 14.44

So, the number of sale must be at least 15. (Answer)

Let Ron have to make x numbers of sale of average value $60000, to achieve his target of $ 50000 salary per year in plan 2.

Plan 2 gives a 6% commission on each sale but no base pay.

Therefore,

⇒ x = 13.89

So, he has to make at least 14 sales. (Answer)

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places