Think of a situation when someone would need to make a measurement with extreme precision. Describe the setting, why the measurement must be so precise, and some of the consequences that might occur if it were not precise.

Ok, suppose you want to create a battery that fits exactly in the hole that is already created for an electric device, like a cellphone for example.

If the battery is slightly bigger, it will not enter the socket, and the battery will be a loss in time and resources.

If the battery is slightly smaller, it will move when it is in the socket, so the cell phone will shut down randomly when you move it, then this battery is also a loss in time and resources.

So you need to measure exactly the socket in order to make a battery that fits exactly inside of it with very good precision.  

This example can be extended for any electronic piece that you need to fit in a given space (for example in microtechnology, the precision of the measures is must be extreme because working with those things is really expensive and you can not mess up with the dimensions of the pieces)

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get