Question

At a salesperson nakia is paid $50 per week plus$3 per sale.This week makati hopes to earn at least $100. Write an inequality for the number of sales Mali's needs to make and describe the solution in the context of the problem

Answer 1

The Inequality representing the number of sales needed is
`50+3x\geq 100`.

Mali need to make at least 17 sales for to earn $100.

Explanation:

Given:

Amount paid per week = $50

Amount paid on per sale = 3

Total amount to be earned
`\geq` $100

We need to write and solve the inequality to find the number of sales need to be make.

Solution:

Let the number of sales need to be make be 'x'.

Now we can say that;

Amount paid per week plus Amount paid on per sale multiplied by number of sales should be greater than or equal to Total amount to be earned.

framing in equation form we get;

`50+3x\geq 100`

Hence the Inequality representing the number of sales needed is
`50+3x\geq 100`.

On Solving above Inequality we get;

Subtracting both side by 50 using Subtraction property of Inequality we get;

`50+3x-50\geq 100-50\\\\3x\geq 50`

Now Dividing both side by 3 Using Division property of Inequality we get;

`(3x)/(3)\geq (50)/(3)\\ \\x\geq 16.66`

Hence Mali need to make at least 17 sales for to earn $100.