Anime club: 500 - 30y
Computer club: 150 + 20x
*you could use any letter(variable) you like*
This question is pretty confusing in the way that i'm not entirely sure what it wants the answer to be, but i'll do my best.
i used the simple interest formula to come up with the equations, and the formula is I = PRT, (I) being interest, (P) being the amount, (R) being the rate of interest, (T) being the time, in months
b = the balance on the customer's account
c = service charge
t = number of months
if b > 1000, then c = b*.008t
if b </= to 1000, then c = b*.012t
if b < 50, then c = t
if b = 0, then c = 0
it looks really confusing but i'm hoping it's lining up with what you're learning and not completely ?????
i created the restrictions with the inequalities based on the given information of what happens when a balance exceeds 1000, is less than 1000, is less than 50, and is 0.
i used the remainder of the given information in the problem to get the equations -- the interest rate for b > 1000 is 0.8%, which is .008, b </= 1000 is .012, and so on. i hope this wasn't too terribly confusing, and let me know if you have any questions about how i came up with the equations!!
f = amount of fliers expected to be mailed in 1 day.
a)
so, she has 5 days to mail those fliers, so
day 1........... 1f mailed out
day 2........... 2f mailed out
day 3........... 3f mailed out
day 4........... 4f mailed out
day 5........... 5f mailed out
so she'll be mailing out a total of 5f fliers, we know whatever "f" is, that total must be at least 850, now, it could be more, no less, could also be 850 exactly, but could also be more, 5f ⩾ 850.
b)
Answer:
C. y = 4x, table B, graph A
Step-by-step explanation:
Charges = $4 per hour (this is the slope, m,)
m = 4
The equation can be represented in the form of y = mx
Where,
m = slope = 4
Substitute m = 4 into y = mx
Thus:
y = 4x
✔️The table that represents the equation y = 4x showing that for 1 hour, the charges is $4 is table B (x = 1, y = 4).
Table B represents the parking cost.
✔️The equation with a slope of 4 is the equation that represents the parking cost. Thus, in graph A, when x = 1 (hour), y = 4 (cost).
Therefore, graph A is the answer.
For this case we have the following relationship between the volumes:
Where,
V2: Volume of the triangular prism after applying the scale factor on each side
V1: Original volume of the triangular prism
k: scale factor
Substituting values we have:
Rewriting:
Answer:
the volume of the prism if each side is dilated by a factor of 1/3 will be
V = 1 cubic unit
