A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has $123 worth of sheet metal remaining. The equation 7.6x−3.5x=123 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?

Sheet metal remaining = 4.1x

cost per square foot of sheet metal = $30

Step-by-step explanation:

Total sheet metal bought = 7.6 ft2

Total sheet metal used = 3.5 ft2

Given equation:

7.6x − 3.5x = 123

Where,

x = cost per square foot

7.6x − 3.5x

Sheet metal remaining = 4.1x

7.6x − 3.5x = 123

4.1x = 123

x = 123 / 4.1

x = $30

Cost per square foot = $30

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.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction