Answer:
f(x)= 2x fox x belonging to [1,30]
f(x)=x for x belonging to (30,150]
Step-by-step explanation:
We are given that, when the store gets open up , there are 100 muffins ready for sale. In Morning every customer is buying 2 muffins. However, this rate changes when the number of muffins comes down to 40 only.
Hence first 60 Muffins were sold to 30 customers.
There for if we take customers as x , and muffins as y
Y=2x ; [1<=x<=30]
When the number of muffins are 40 , 80 muffins are additionally baked and added to the store. Hence the total number of muffins now is 120. And now every customer buys one muffin. Hence these 120 muffins will be bought by 120 customers.
Thus over all we had 60+120 = 180 Muffins and 30+120 = 150 Customers.
So , if we take customers as x , and muffins as y
Y=x ; [30<x<=120]
Hence the function will be the piecewise function. As given under
f(x)= 2x fox x belonging to [1,30]
f(x)=x for x belonging to (30,150]
Let us now plot the graph by taking few random values of x ( number of customers ) and evaluating y ( Muffins bought by them ) in tabular form
x y
0 0
10 20
30 60
40 70
80 110
150 180
Please find the graph attached with this answer.
