Question

Pavan is making monthly payments of $110 to pay a loan of $8140. The function ​ f(x)=−110x+8140f(x)=−110x+8140​ represents the amount he owes after making x payments.

What is the practical domain of function f?
all real numbers from 0 to 8140
all whole numbers from 0 to 74
all real numbers from 0 to 74
all multiples of 110 between 0 and 8140

Answer 1

f(x) = -110x + 8140...the domain is ur x value while the range is ur f(x) value.

so ur practical domain is : all whole numbers from 0 to 74...because at 74, the loan will be paid off.

Answer 2

Option B is correct - all whole numbers from 0 to 74

Explanation:

Given : Pavan is making monthly payments of $110 to pay a loan of $8140.

The function
`f(x)= -110x+8140` represents the amount he owes after making x payments.

To find : The domain of the function

Solution : To find the domain of the function we need to find how many payments he done so that the domain is between the payment he has done.

To find how many payment he has done put f(x)=0

`f(x)= -110x+8140`

`0= -110x+8140`

`110x=8140`

`x=(8140)/(110)`

`x=74`

Which means he need to do 74 more payment to clear his loan.

Therefore, Domain of the f(x) = all whole numbers from 0 to 74

So, Option B is correct.