Adam earns $75 per week mowing lawns. this can be represented by the function f(x) = 75x. each week he deposits this money into his bank account. at the beginning of january his bank account had a balance of $500 in it. adam also makes a $45 withdrawal each week. the withdrawals from his account can be represented by the function f(x) = 500 - 45x. write a function that can be used to represent his bank balance after n months, including his monthly deposit and withdrawal. a) f(n) = 500 - 30n b) f(n) = 500 + 30n c) f(n) = 12(500-30n) d) f(n) = 500 - (75n-45n)

option B is the correct answer

Step-by-step explanation:

Adam earns $75 per week mowing lawns. Assuming that the number of weeks that he works can be represented as n months, that means that he works 75 × n = $75n in n months. This can be represented by the function f(n) = 75n

At the beginning of January his bank account had a balance of $500 in it.

Adam also makes a $45 withdrawal each week. This means he makes a withdrawal of 45 × n = $45n

The withdrawals from his account can be represented by the function f(n) = 500 - 45n

A function that can be used to represent his bank balance after n months, including his monthly deposit and withdrawal will be

f(n) = 500 + 75n - 45n

f(n) = 500 + 30n

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

9 x 8 divided by (5-3)=36