Question

please answer all as they are a part of one question

Your manager asks you to plan a Roing away party for one of your co-workers. You are asked to compare the cost of a dinner party at four different restaurants. Most restaurants charge by the plate for the dinner and a flat room fee (no matter how many guests attend). I. Restaurant 1 - Intercept Cafe The following table shows the costs of a party at Intercept Cafe for different numbers of guests. Guests Cost 150 260 10 370 25 700 50 1250 Plot the points from the table using the anid on the last pape of this packet. Let x represent the number of guests and y represent the cost Set the x minimum to 0 and maximum to 175. Set the y minimum to and the maximum to 4500 Draw a line through your points using a straight edge. b. Determine the slope of the line by using two points from your table. c. What do you think the slope of the line means in this practical situation? d. Determine the y-intercept from the graph or the table, circle it on the graph and write the coordinates of your point here. (Remember it is a point.) e. What do you think the y-intercept means in this practical situation? Write the equation of the line in the form of y = mx + b using the slope and y-intercept. g. Label your line on the graph by writing the equation on it. h. Your manager tells you that there will be 167 guests at the dinner. What will be the cost of the evening? Use the equation of the line to determine this. Your manager also tells you that you cannot spend more than $4200 on the total dinner. How many guests will be able to attend so that you stay within your budget? Use the equation of the line to determine this.

Answer 1

(cast) 1950 1200 - losof 900 480+ (9y22x+rso 8 (b) two points (5, 260) (a (10, 370) slope = 846 -260 =113=123.s e 10-5 (c) in practical, slope means for every guest, cost is increased by 22. 5 10 15 20 25 30 35 4 xquest or the 100 guest Intreament, cost is increases by 2200. (d) Y-intercept =150. Point (0,150). (e) in practical situation Y - intercept means, minimum cost is 150 even if No guest is there in Restausant, (f) y = mu to (h) y = 22x167+150 = 38 24 Aug. [ Y = 22x +180] Ady (0 4200 -150 =7 [X=NO 4 guest = 184 ANS, 22