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?

$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

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,

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not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this