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Which solution will create a proportional relationship for the following proportion?
4/r 5/20
A. r= 16
B. r= 5
C. r= 10
D. r=20

Respuesta :

Answer:

r = 16

Step-by-step explanation:

Cross multiply:

4 x 20 = r x 5

Simplifying

4 x 20 = r x 5

Multiply 4 x 20

80 = r x 5

Reorder the terms for easier multiplication:

80 = 5r

Solve

80 = 5r

Solve for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-5r' to each side of the equation.

80 + -5r = 5r + -5r

Combine like terms: 5r + -5r = 0

80 + -5r = 0

Add '-80' to each side of the equation.

80 + -80 + -5r = 0 + -80

Combine like terms: 80 + -80 = 0

0 + -5r = 0 + -80

-5r = 0 + -80

Combine like terms: 0 + -80 = -80

-5r = -80

Divide each side by '-5'.

r = 16

Simplify

r = 16