Question

A designer design a fabric .The cost of per meter fabric is $ 15 and cost of dying increases with increase in each meter fabric at the rate of $5. Then find the total cost of designing fabric of 50 meter. And explain and create equation for how will you find the total cost.
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Answer 1

Answer:

Tips:

Arithmetic Progression (AP) is a sequence of numbers in order in which the difference of any two consecutive numbers is a constant value.

For example, the series of natural numbers: 1, 2, 3, 4, 5, 6,… is an AP

Explanation:

Given-

The cost of per meter fabric = $ 15

cost of dying increases with increase in each meter fabric at the rate of $5.

Find-

The total cost of designing fabric of 50 meter=?

This question is making a AP series. So we can use the formula sum of AP series.

Step-by-step explanation:

Step 1 out 2:

S = n/2[2a + (n − 1) × d]

where,

S=sum of n number of AP series,

n=number of elements,

d=difference between two consecutive numbers,

a= First element of the series

Step 2 out 2:

Here,

s gives total cost of designing fabric of 50,

n =50,

a=$ 15 ,

difference between two consecutive numbers d=5$

s=50/2[2*15 + (50 − 1) × 5]

s=6875

Final Answer:

The total cost of designing fabric of 50 meter=6875$