The product of two numbers is 240. The first number is 8 less than the second number. Which equation can be used to find x, the lesser number?

Step-by-step explanation:

We are given that is the lesser number.  Therefore, the larger number, which is 8 larger than , must be .  Our two numbers multiplied are , and they must be equal to 240, as that is given by the question.

Thus,

Equation:  

Distributive Property:  

Subtracting both sides by 240:  

Factoring:  

Casework:  

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.

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation: