Answer:
q(p)= -3000p+12000
Step-by-step explanation:
For the function to be linear,
q(p)= mp + c
where
q(p): number of hamburgers sold
p: price per hamburger
m: gradient of the function
c: constant of the function
q(p)=6000 when p=2
6000=2m+c .................... equation I
0=4m+c
c=-4m........................ equation II
Substitute value of c in equation I
6000=2m-4m
m= -3000
c=12000
q(p)= -3000p+12000
Answer:
6x + 25 ≤ 135
Step-by-step explanation:
Maximum amount to spend = $135
Boxes of popcorn = 2
Boxes of candy = 3
Cost per box of popcorn = $6
For 3 boxes = $6 * 3 = $18
Cost per box of candy = $3.50
For 2 boxes = $2 * 3.50 = $7
Item cost = Cost of candy and popcorn = $18 + $7 = $25
Ticket price = $6
Inequality to find number of friends ;
Let number of friends = x
Ticket cost = 6x
Hence ;
Ticket cost + item cost ≤ 135
6x + 25 ≤ 135
