Part A Diana has a home-based business making and selling scented soaps.
She initially spent $70 to purchase soap-making equipment, and the materials
for each pound of soap cost $6.
Diana sells the soap for $13 per pound.
Eventually, she will sell enough soap to cover the cost of the equipment.
How much money in total sales will Diana need to break even?

what

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!