Answer:
Brian should be able to negotiate a price higher than $27,200.
Explanation:
Given:
Sticker price of the car = $32,000
Cost of the car = 15% lower than the sticker price.
We need to find the cost of the car as negotiation price needs to be higher than the cost price.
Solution:
First we find the cost of the car.
In the above statement, the cost of the car is 15% lower than the sticker price, so we use the percentage formula for cost of the car.
Using percentage formula.
![percentage\ cost = (100-percentage\ value)/(100)* Sticker\ cost](https://img.qammunity.org/2021/formulas/mathematics/high-school/3vdx7i7pb557rplg8o97mxnsmzn19aywfj.png)
Now, we substitute percentage value = 15 and Sticker cost = $32,000
![Cost\ of\ the\ car=(100-15)/(100)* 32000](https://img.qammunity.org/2021/formulas/mathematics/high-school/5x950ix6e3q32zbfcfjba8fm04jh5b4n84.png)
![Cost\ of\ the\ car=(85)/(100)* 32000](https://img.qammunity.org/2021/formulas/mathematics/high-school/3myb1jc3ge40hahrcx1m5pgglm44t2wvoh.png)
Now, we divide 32,000 by 100
![Cost\ of\ the\ car=85* 320](https://img.qammunity.org/2021/formulas/mathematics/high-school/3fneleipw4uwil9k6nwy0w1n0xot71yaz5.png)
![Cost\ of\ the\ car=\$27,200](https://img.qammunity.org/2021/formulas/mathematics/high-school/kkz13ijntczfe5hrovr1w7w1zenfuqanfr.png)
So, cost of the car is equal to $27,200
Therefore, Brian should be able to negotiate a price higher than $27,200.