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Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Lucy has a home-based business making and selling scented soaps. She intially spent $95 to
purchase soap-making equipment, and the materials for each pound of soap cost $7. Lucy
sells the soap for $8 per pound. Eventually, she will sell enough soap to cover the cost of the
equipment. What will be Lucy's total sales and costs be? How much soap will that be?
once she
sells
pounds of soap.
Lucy's sales and costs will both be $

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

answer: i think it is c

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu