Orange juice is sold in four different sizes the 8 1/2 ounce bottle costs $0.99 the 18 2/2 oz. bottle costs $1.49 the 48 1/4 oz. carton costs $2.49 and the 64 3/4 oz. carton costs $3.751.calculate a unit rate for each size 2. which size is the best buy

Part 1) The units rates are

A)

B)

C)

D)

Part 2) The best buy is the size 48 1/4 oz

Step-by-step explanation:

we know that

To find out the unit rate divide the total cost by the total volume

Part 1) Calculate the unit rate for each size

case A) we have

8 1/2 ounce bottle costs $0.99

Convert mixed number to an improper fraction

Find the unit rate

case B) we have

18 2/2 oz. bottle costs $1.49

Convert mixed number

Find the unit rate

case C) we have

48 1/4 oz. carton costs $2.49

Convert mixed number to an improper fraction

Find the unit rate

case D) we have

64 3/4 oz. carton costs $3.75

Convert mixed number to an improper fraction

Find the unit rate

Part 2) which size is the best buy

we know that

The best buy is the one with the smallest unit rate

so

The best buy is the size 48 1/4 oz

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )

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.