Answer:
D
Step-by-step explanation:
Answer:
Constant of proportionality is 12
The cost of buying new bicycle changes 12 dollar per week
Step-by-step explanation:
we are given
The equation as

where
d represents the amount in dollars
w is number of weeks
now, we can compare it with

where
k is constant of proportionality
we can compare
and we get
k=12
So,
Constant of proportionality is 12
we can see that

So,
The cost of buying new bicycle changes 12 dollar per week
Answer:
<-7,-3>
Step-by-step explanation:
To write RS in component form we need to know how far to move over horizontally and then how many to move vertically.
Since horizontal movement is the x values, we subtract the x values of R and S first.
0 - 7 = -7
Since vertical movement is in the y values we subtract those next.
5 - 8 = -3
So written in component form we have <-7,-3>
X = # of perfomances
y = total amount of money
Income: y = 7500x
Expense: y = 5900x + 88000
Substitution:
7500x = 5900x + 88000
1600x = 88000
x = 55
y = 7500(55) = $412,500
55 performances are needed to break-even.