Question

The function C(n) below relates the number of bushels of apples picked at a pick-your-own orchard to the final cost for the apples. It takes as input the number of bushels of apples picked after paying an entry fee to an orchard and returns as output and returns as output the cost of the apples (in dollars) C(n) = 10n + 20 Which equation below represents the inverse function N(c), which takes the cost of the apples as input and returns the number of bushels picked as output

Answer 1

Step-by-step explanation: If C(n) = 10 n +20 and n = bushels picked

then n = (C(n) - 20) / 10 = N(c)

just solving for n

Answer 2

`N(c)= (c-20)/(10)`

Explanation:

As per the statement:

The function C(n) below relates the number of bushels of apples picked at a pick-your-own orchard to the final cost for the apples.

Cost of apples(in dollars) is given by:

`C(n) = 10n+20` ....[1], where n is the number of bushes picked

Let c = C(n) and n = N(c)

We have to find inverse function N(c).

Step 1.

Subtract 20 from both sides in [1] we have;

`c-20 =10n`

Step 2:

Divide both sides by 10 we have;

`(c-20)/(10) = n`

or

`n = (c-20)/(10)`

We can write this as:

`N(c)= (c-20)/(10)`

Therefore, an equation represents the inverse function N(c), which takes the cost of the apples as input and returns the number of bushels picked as output is,

`N(c)= (c-20)/(10)`