Respuesta :
Answer:
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:
[tex]N(c)= \frac{c-20}{10}[/tex]
Step-by-step 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:
[tex]C(n) = 10n+20[/tex] ....[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;
[tex]c-20 =10n[/tex]
Step 2:
Divide both sides by 10 we have;
[tex]\frac{c-20}{10} = n[/tex]
or
[tex]n = \frac{c-20}{10}[/tex]
We can write this as:
[tex]N(c)= \frac{c-20}{10}[/tex]
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,
[tex]N(c)= \frac{c-20}{10}[/tex]
