Chelsea dog-sits for her neighbors as a part-time job. she charges $12 a day plus an additional $2.50 for each walk she takes with the dogs. determine which graph and which equation represent the amount of money chelsea earns in one day, a, after taking w walks with the dogs.

Step-by-step explanation:

Chelsea charges $12 per day

She also charges additional $2.50 for each walk

We are given that She took w walks in one day

So, additional cost of w walks = 2.50w

let A represents the total amount she earns in one day after taking w walks.

So, the total amount she earn in 1 day after taking w walks :

Hence  equation represent the amount of money Chelsea earns in one day, A, after taking w walks with the dogs is    

Refer the attached graph .

6 equilateral triangles

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.