A local travel agent has been authorized to sell three new vacation packages for a major airline. The three packages are priced at $870, $900, and $1,150, respectively. The airline has promised a sizable bonus commission if total sales by the travel agent equal $300,000 or more. If , , and , equal the number of packages sold of types 1, 2, and 3, respectively: a) Define the equation which states that total sales equal $100,000. 1-Marks b) If the airline specifies that the agent must sell 20 of the $1,150 packages and 10 of the $900 packages to qualify for the bonus, how many of the $870 packages will be necessary to qualify? 1-Marks c) One strategy being considered by the agent is to sponsor a charter flight in which all persons would select the same package. Given that three different charters could be planned, how many persons would have to sign up for each to qualify for the bonus?

answer: .75 km

step-by-step explanation:

answer: 72: 111

step-by-step explanation:

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)