Pam has a home-based business making and selling scented soaps. she initially spent $75 to purchase soap-making equipment, and the materials for each kilogram of soap cost $15. pam sells the soap for $18 per kilogram. eventually, she will sell enough soap to cover the cost of the equipment. how much soap will that be? what will be pam's total sales and costs be? solve by elimination

Hence, 25 kilograms she will manage to purchase and sell atleast.

Step-by-step explanation:

Let the number of each kilogram of soap be x

Amount she spent to purchase soap making equipment = $75

Amount she spent to purchase the material for each kilogram of soap = $15

So, total expenditure will be

now, Rate at which she sells the soap per kilogram = $18

so, Total earning will be

According to question,

So, the total cost of Pam's will be

Total sales will be

Hence, 25 kilograms she will manage.

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.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.