Determine if the list of numbers is an arithmetic sequence by choosing Yes or No. If Yes, then choose the option with the correct common difference “d.” 22, 25, 27, 30, 33, . . .

D

Step-by-step explanation:

The numbers are increasing. d cannot be minus. That eliminates a.

B is also wrong. It is an arithmetic sequence.

C is not the answer because there is a difference of 3 not 2

D is the answer

Option "d" Yes,d = 3

Discussion:

different = 25 - 22

= 3 ✓

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.