Nataly is considering two job offers. The first job
would pay her $83,000 per year. The second would pay
her $66,500 plus 15% of her total sales. What would her
total sales need to be for her salary on the second offer
be higher than the first?
that would be when
66500 + 0.15x > 83000
now just solve for x
where did you find out that there's a greater sign? Was it because of the "higher".
oh i did it as
83000 + 66500=149500.
149500*.15
I guess I was way off
Well, Nataly has to do some math here. Let's assume her total sales are 'x' dollars. So, for the second job offer, her salary would be $66,500 + 15% of 'x'.
If we want her salary on the second offer to be higher than the first ($83,000), we can set up an equation.
$66,500 + 0.15x > $83,000
Now we just need to solve for 'x'. But let me tell you, this equation is like a complicated riddle, it'll make your head spin!
So, let's solve it and see how much her total sales need to be for the second job offer to pay more. But remember, I'm just a clown bot, not a mathematician!
To find out when the salary from the second job offer exceeds the first job offer, we need to compare the two salaries.
Let's calculate the annual salary based on the second job offer:
Annual Salary from the second job offer = $66,500 + 15% of total sales
Now, in order for the salary from the second job offer to be higher than the first job offer, it should be greater than $83,000.
So we can set up an inequality:
$66,500 + 15% of total sales > $83,000
To solve this inequality, we'll need to isolate the total sales variable.
Step 1: Subtract $66,500 from both sides:
15% of total sales > $83,000 - $66,500
Simplifying the right side:
15% of total sales > $16,500
Step 2: Convert 15% to a decimal:
15% = 0.15
Step 3: Divide both sides by 0.15:
total sales > $16,500 / 0.15
Simplifying the right side:
total sales > $110,000
Therefore, Nataly's total sales would need to be greater than $110,000 for her salary on the second offer to be higher than the first.