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Nina [5.8K]
3 years ago
5

Represent the relationship between the total cost and the number of items, if total cost t is proportional to the number n of it

ems purchased at a constant price p.
Mathematics
1 answer:
kvv77 [185]3 years ago
5 0

Answer:

t = pn

Step-by-step explanation:

We are to find the relationship between total cost and the number of items.

First we would represent the relationship between total cost and number of items with variables

Let the total cost = t

and the number of items = n

Total cost t is proportional to the number n of items:

t ∝ n

t = kn

where k is constant

Since it is purchased at a constant price p, the constant of proportionality would be p. the k would be replaced with p

t = pn

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Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
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The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

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