A swimming academy charges onetime registration fees plus fixed monthly fee. Mayank joined
the academy and paid ₹1200 in the first month including registration fee and ₹700 in the second
month. Which linear equation shows the total fee, ݕ ,for ݔ months and the total fee for 6
months?
a. ݕ = 1200 + 700ݔ ;5400
b. ݕ = 1200 + 700ݔ ;4700
c. ݕ = 500 + 700ݔ ;4700
d. ݕ = 500 + 700ݔ;5400
Answers
Answer: option b
Step-by-step explanation: amount = 700x5 +1200= 4700
Given:
Mayank joined the academy and paid ₹1200 in the first month including registration fee and ₹700 in the second month.
To find:
Which linear equation shows the total fee, ݕ ,for ݔ months and the total fee for 6 months?
Solution:
From given, we have,
Mayank joined the Swimming Academy and paid Rs. 1200 for the fee in,
Total = registration fee + monthly fee.
In the next month he pays Rs. 700.
Assume the registration fee to be x,
The linear equation as 700 + x = 1200
where x = Rs. 500.
⇒ 700 + 500
The registration fee is Rs. 500
For 6 months, the amount of money given by Mayank will be,
6 × 700 = Rs. 4200
Total amount paid by Mayank after 6 months = 4200 + 500 = Rs. 4700
Option (c) 4700, 700 + 500 is correct.