Question

6. A tube well is bored 800 meters deep. The 1" meter costs $250 and the

cost per meter increases by $50 for every subsequent meter.
a) Find the cost of boring the 750 meter

Answer 1

The total cost of boring the 750 meters is $37,700.

Explanation:

We know that the cost of the first meter is $250.

You want to keep on adding $50 each time you add a meter for example the cost of the second meter would be $300 because you add $250+50. Another way is that you can multiply so for the third meter it would be $350 as you $250+50(2).

In that way you can see a pattern forming and we want to subtract 1 variable when multiplying as you are already originally adding $50.

So now we want to form an equation to solve for the cost of 750 meters. The equation I would make is

250+50(750-1)

then you can solve to get 37700 that is shown below

250+50(750-1)

250+50(749)

250+37450

37700

That will be our answer!

The total cost of boring the 750 meters is $37,700.