Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes. Complete and solve the equation that finds the number of dimes he will pay you after the 7th study session.
Let x be the number of dimes he will pay you after the 7th study session.
From the given information, we know:
x = 5*5^(7-1)
Simplify the equation:
x = 5*5^6
x = 5*15625
x = 78125
Therefore, he will pay you 78125 dimes after the 7th study session.
ok ty but what is the number of dimes for 7th study session
To find the number of dimes he will pay you after the 7th study session, you can follow the pattern of payment increase:
1st study session: 5 dimes
2nd study session: 5*5 = 25 dimes
3rd study session: 5*5^2 = 125 dimes
4th study session: 5*5^3 = 625 dimes
5th study session: 5*5^4 = 3125 dimes
6th study session: 5*5^5 = 15625 dimes
7th study session: 5*5^6 = 78125 dimes
Therefore, he will pay you 78125 dimes after the 7th study session.