A person wants to order ferns for his garden He checked the price at a nursery and found that the nursery charges 89 for delivery and $5 for each plant ordered He also noted that there are no debvery charges lors
of $70 or more. Based on his findings, he wrote the following functions
f(n) = 9+ Sn to represent the cost of n plants when a delivery charge is included
• g(n) = 5n to represent tt» cost of n plants with no delivery charge
Match the domain to the function
All positive integers All integers greater than or equal to 70 All positive integers less than 70 All integers greater than or equal to 14
All non-negative integers less than 14 All non-negative integers less than 70 All positive integers less than 14
Domain
Function
g(n)

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dakotabeats06 dakotabeats06 · Answer 1 · 2020-10-13T14:08:43+02:00

Answer:All non-negative integers less than 70 for f(n) and All integers greater than or equal to 70

Step-by-step explanation:

It asks about the price before and after the free delivery.I’m not the best at explaining but I hope my answer helped.

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boffeemadrid boffeemadrid · Answer 2 · 2021-10-22T08:27:20+02:00

The domain of the given functions are required.

The domain of [tex]f(n)[/tex] is All non-negative integers less than 14.

The domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.

When the order is less than $70 a delivery charge of $89 is added and each plant costs $5.

The function representing the situation is

[tex]f(n)=89+5n[/tex]

If the order is or more than $70 then the function will be

[tex]g(n)=5n[/tex]

The domain of a function is the permissible values of [tex]n[/tex] for which the function is valid.

In the first function the number of plants that need to be bought so that the order will be 70 dollars would be

[tex]\dfrac{70}{5}=14[/tex]

So, only if less than 14 plants are bought then the first function can be used.

Also, the number of plants cannot be negative or zero hence it will be positive.

So, the domain of [tex]f(n)[/tex] is All non-negative integers less than 14.

In the second function the number of plants has to be 14 or more as it costs 70 dollars or more.

So, the domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.

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