Question

Anyone know how to do these? Please show steps. WILL AWARD BRAINLIEST.

Answer 1

1) table

x |    3       9     13     20
y |    9     27     29     60

Probe the ratio y / x

9 / 3 = 3

27 / 9 = 3

29 / 13 = 3

60 / 20 = 3     

Answer: since y/ x = constant, we proved that the varibles are in direct variaton.

The function is found by doing y / x = k => y = kx

We have found k = 3, so the function is y = 3x

Answer: y = 3x

2) You can notice that y = 1 /x is the parent function of y = 5 / (x +6).

That means that you can tranform the graph of 1/x with some simple transformations (scaling and translating) to obtain the function 5/(x + 6).

If you call f(x) = 1 /x and g(x) = 5 / (x + 6), you can obtain:

 g(x) = 5 * 1(x +6) = 5 * f(x+6)

That means, that the graph of g(x) is obtained by shifting the graph of f(x) 6 units to the left and scaling by tactor 5.<------------ answer.

3) The cost per share, C is equal to the cost of the table ($500) divided by the total number of contributors.

The total number of contributor is equal to 5 plus the additinal contributors, n.

The, you can do:
      
                       500                        500
C =  -------------------------------- = ----------
         number of contributors       5 + n

So the asked function is C(n) = 500 / (5 + n) <---------answer

To find how many new contributors Jane has to recruit fo make the cost per share equal to $20, solve the equation:

500 / (5 + n) = 20

=> 500 = 20(5 + n)

=> 500 = 100 + 20n

=> 20 n = 500 - 100

=> 20 n = 400

=> n = 400 / 20

=> n = 20

Answer: 20 new contributors.