Mathematics: Lynne walks dogs everyday to earn money. the fees she charges per month are 1 dog $40, 2 dogs $37.25, 3 dogs $34.50 each, 4 dogs $31.75 each. a pet store wants her to walk 8 dogs. if the pattern continues, how much will lynne charge to walk each of the 8 dogs?

Lynne walks dogs everyday to earn money. the fees

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pronces

01.01.2022

Mathematics

$20.75

Step-by-step explanation:

Given : Lynne walks dogs everyday to earn money.

The fees she charges per month are 1 dog $40 each , 2 dogs $37.25 each, 3 dogs, $34.50 each and 4 dogs $31.75 each.

let x be the number of dogs and f(x) be fee she charged per month.

We know that, the rate of change of f(x), if pattern continues

$=\frac{f(4)-f(1)}{4-1}=\frac{\$31.75-\$40}{4-1}=\frac{-\$8.25}{3}=-\$2.75$

Thus she decreases her fee $2.75 per on increment of number of dogs

For x=8 , to find f(8), we consider same pattern to 8 dogs.

Thus,

$\frac{f(8)-f(1)}{8-1}=-\$2.75\\\Rightarrow\frac{f(8)-40}{7}=-2.75\\\Rightarrow\ f(8)-40=7\times-2.75\\\Rightarrow\ f(8)-40=-19.25\\\Rightarrow\ f(8)=40-1925=\$20.75$

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Lynne walks dogs everyday to earn money. the fees she charges per month are 1 dog $40, 2 dogs $37.25, 3 dogs $34.50 each, 4 dogs $31.75 each. a pet store wants her to walk 8 dogs. if the pattern continues, how much will lynne charge to walk each of the 8 dogs?

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