A math club has 24 members at the beginning of the school year. Four more people
join the club each month for 8 months.
A. Write a function to represent this situation, using T to represent the total number of
members in the math club and m to represent the number of new members who join
the club.
Initial value: members
Rate of change: members per month
Function: T(m) = m+
B. State the domain and range of the function in this situation.
Domain:
Range:
C. How many people are in the club after 5 months?
Find the value of when equals
T(m)=O0+0=0
The number of people after 5 months is

B)  Domain T (x)=1/x = 1/32 =32     Range = 6

Step-by-step explanation:

B) The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values

Range is 32 amount of total pupils deducted by 24 smallest number

C) T (m) =OO+0=0  = T(m) =24+20=44

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,