How many vehicles does the salesperson need to sell in a month to earn at least $6000? Explain how you found your answer.

15 vehicles

Step-by-step explanation:

The first part of the question reads:

A salesperson at a car dealership earns a monthly salary of $2,400 and $250 for each vehicle sold.

The Sales person wants to get to $6,000 for the month.

Their salary already gives them $2,400 so the amount they have to make in commission is:

= 6,000 - 2,400

= $3,600

They earn $250 per car sold so the number of cars they need to sell is:

= 3,600 / 250

= 14.4

Round this up to 15 cars because rounding down to 14 would not be enough to reach the total of $6,000.

15 cars * $250 commission = $3,750 which is more than the $3,600 required so the condition has been satisfied.

To earn at least $6,000, they will have to sell 15 cars.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

the answer for the question that you are asking is 4