Question

The number of daily customers for a canteen is 100 members and due to new canteens, everyday 4 customers are decresing. Which of the following points lie on the equation formed by the above condition?

• A. (0,25) and (25,100)
• B. (0,100) and (25,100)
• C. (0,100) and (25,0)
• D. (0,25) and (25,25)

Answer 1

The correct option is C (0,100) and (25,0)

Given,
The initial number of customers = 100
Number of customers decreasing per day = 4
Let, y be the number of customers and d be the number of days.
Hence, equation formed by given conditions is y = 100 - 4d

When d = 0,
y = 100 - 0 = 100

Therefore, the line will pass through (0,100).

When d = 25,
m = 100 - 4 $\times$ 25 = 100 - 100 = 0

So, line passes through (0,100) and (25,0).

On graph, we can represent the above as: