Question

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answer 1

ill give a metal to the best answer....

Answer 2

@TrojanPoem

Answer 3

can you help real quick

Answer 4

Initial value = value when he started ( in 2000) =$ 750
Each year he add a constants to that value

let y be the amount he get after t years a amount increase each year

y = 750 + at

you're given that

in 2010 his free = 1350

t = 2010 - 2000 = 10 year

y = 1350

y = 750 + at

1350 = 750 + 10 a

600 = 10a

a = 60

y = 750 + 60t ( his fee as a function of time)

In slope form

y = 60t + 750

so he increases his fee by 60 $ a year

Answer 5

Thanks.....but how would i write it in paragraph form lol

Answer 6

because i dont know how to get all those symbols in words and then word it correctly

Answer 7

the rate of change : 60 dollar per year
initial value for Elliot’s business: $750

How do you know ? -,- see my equations below.

xD, maybe I am not good in writing paragraphs.

Answer 8

maybe you could write :

he started in 2000 and at that time his fee was 750 which is the initial value by 2010 his fee became 1350 so his fee increased each year by 50 $

Answer 9

thank you muchly lol^_^

Answer 10

You're welcome.