Find the value of n in each of the following proportions. 1. 18/n = 21/28

2. 12/16 = n/64

24

Step-by-step explanation:

18/n = 21/28                    You can cancel, but calculators make that unnecessary.   Cross multiply

21n = 18 * 28

21n = 504                         Divide by 21

n = 504 / 21

n = 24

12/16 = n / 64                    Cross Multiply

16n = 12 * 64

16n = 768                         Divide by 16

n = 768/16

n = 48

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: