Question

Owen paid a landscaping company $108 for an initial lawn treatment, then $74 per month thereafter. The function p(t) = 108 + 74t represents the total
amount of money he will have paid after t months
A Find p(24)
R(24) =
B. How long has Owen been receiving lawn service if he has paid a total of $2,994 to date?
Owen has been receiving lawn service for
months

Answer 1

Answer:

A) p(24) = 1884

B) Owen has been receiving lawn service for 39 months

Step-by-step explanation:

For A)

"Find p(24)" also means "Find the amount of money Owen pays for lawn service after 24 months" as we're given 24 for t. As such, rewrite the given function as p(24) = 108 + 74(24)

p(24) = 108 + 74(24)

p(24) = 108 + 1776

p(24) = 1884

For B)

If Owen paid a total of $2,994 up to date this means "p(t)" is equal to 2994. Remember p(t) is the total amount of money Owen gains after a certain time, (t)!

So:

p(t) = 108 + 74t

2994 = 108 + 74t

(2994 - 108) = 74t

2886 = 74t

t = 39

Put that into words: "Owen has been receiving lawn service for 39 months"