Question

Okay that’s fine but I’m bout to go get home

Answer 1

Step-by-step explanation:

We will have to get the equations

Plan X

Let the number of weekly sales be represented by d

So the equation will be

`\begin{gathered} =1000+10\text{\% of d} \\ =1000+0.1d \end{gathered}`

For plan Y

We will have

`\begin{gathered} =500+20\text{\% of d} \\ =500+0.2d \end{gathered}`

The question wants us to determine when salespeople on plan X will earn more than on plan Y

We will set up the inequality

`\begin{gathered} X>Y \\ =1000+0.1d>500+0.2d \\ =1000-500>0.2d-0.1d \\ =500>0.1d \end{gathered}`

Re-writing this, we will have

`\begin{gathered} 0.1d<500 \\ dividing\text{ both sides by 0.1} \\ (0.1d)/(0.1)<(500)/(0.1) \\ d<5000 \end{gathered}`

Therefore, the answer is d< 5000