Brooke is making fresh-squeezed orange juice. There is a proportional relationship between the number of oranges, x, Brooke squeezes and the amount of juice in ounces, y, she makes. The table is titled Orange Juice. The table has four columns and two rows. The first row is titled Number of Oranges. The second row is titled Ounces of Juice. Three oranges, six ounces of juice. Five oranges, ten ounces of juice. Seven oranges, fourteen ounces of juice. Nine oranges, eighteen ounces of juice. Which equation represents the relationship between x and y?

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct