Question

The table represents the function p in which of the following is the value of p in when n equals 35

Answer 1

The function P(n) is varying with n following a linear equation, the general form of a linear equation is:

P(n)=n*m+b

if we want to find the value of P when n equals 35, first we must find the value of m and b, we can do this using the data from the table, like this:

-when n equals o,

P(0)=0*m+b

P(0)=5, then:

5=0*m+b

then, b=5

Now we just have to find m

let's do this using n equals 10

P(10)=25, then

25=m*10+b, but b=5, then:

25=m*10+5

then, solving for m:

m=(25-5)/10=20/10=2

then m=2

Now, we can find P(35), like this:

P(35)=m*35+b=2*35+5

then:

P(35)=70+5=75

The value of P(n) when n=35 is 75