Carrie is considering three different types of materials for her chairs. Depending on the price she sets for each chair, the costs and revenues for each type of material will generate different costs and revenues for her business. In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.

Material 1 Material 2 Material 3
R(x) = 200,000x - 2,000x2 R(x) = 160,000x - 1,000x2 R(x) = 54,000x - 270x2
C(x) = 5,000,000 - 20,000x C(x) = 4,000,000 - 10,000x C(x) = 2,000,000 - 5,000x

Material (1 2 3) can deliver the highest profit of about ($500,000 $2,055,000 $3,225,000 $4,125, 000)
.

Material (1 2 3) earns profit for the widest range of prices.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

The final cost of a sale is determined by multiplying the price on the tag by 75%. which best describes the function that represents the situation?

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?