Which table shows a proportional relationship? tomatoes (pounds) cost ($)
10.5
0.50
OA
2.0
1.60
2.70
3.0
tomatoes (pounds) cost ($)
10.5
0.60
OB.
2.0
2.40
3.60
3.0
tomatoes (pounds) cost ($)
1.0
0.60
2.0
2.00
O c.
3.0
3.00
tomatoes (pounds) cost ($)
1.0
11.50
OD
2.0
2.50
3.0
3.50

Choices A, C, E

Step-by-step explanation:

The prices are proportional, so divide any price by the corresponding number of pounds to find the unit cost.

$1.47/(3 lb) = $0.49/lb

The unit cost is $0.49 per lb.

Now we look in the choices to see which choice has a unit price of $0.49/lb.

We divide each price by its number of pounds to fund each unit cost. Every choice with a unit cost of $0.49/lb is an answer.

A $0.98/(2 lb) = $0.49/lb     Choice A works

B $4.45/(7 lb) = $0.64/lb      Choice B does not work

C $2.94/(6 lb) = $0.49/lb     Choice C works

D $0.54/(1 lb) = $0.54/lb     Choice D does not work

E $3.92/(8 lb) = $0.49/lb     Choice E works

Choices A, C, E

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.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3