Answer:
a) Cost of the child-care center: y = 300 + 79x
Cost of the family-run childcare: y = 180 + 93x
Where x is the number of weeks.
b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center.
c)The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.
Step-by-step explanation:
Hi there!
a)Let y be the cost of childcare. In the child-care center, the cost is 300 plus 79 per week. Let x be the number of weeks, then the cost function for the child-care center will be:
y = 300 + 79x
In the same way, the cost of the family-run childcare will be:
y = 180 + 93x
b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center. Let´s calculate the cost of both childcare options for low values of x:
Child-care center:
y = 300 + 79 x
x = 0, y = 300
x = 1, y = 379
x = 2, y = 458
x = 3, y = 537
x = 4, y = 616
Family-run:
y = 180 + 93x
x = 0, y = 180
x = 1, y = 273
x = 2, y = 366
x = 3, y = 459
x = 4, y = 552
c) We have to find the value of x for which the cost of the family-run childcare is greater than the cost of the child-care center:
cost family-run > child-care center
180 + 93x > 300 + 79 x
93x -79x >300 - 180
14x > 120
x > 120/14
x > 8.6
The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.
There’s not actually a question. But I might be able to help if u show the full problem
Given that Antonia and Carla have the same percentage of marbles and Antonia has 4 green marbles out of 16 marbles , to calculate the number of marbles that Carla has that aren't green we proceed as follows;
let the total number of Carla's marbles be x;
the percentage of green marbles that Antonia has is:
4/16×100=25%
since they have the same percentage then:
number of green marbles Carla has is 10:
this is 25% of x, hence:
10/x×100=25
1000/x=25
1000=25x
thus
x=1000/25
x=40
Carla has a total of 40 marbles. Thus the number of marbles which are not green will be:
40-10=30 marbles
Answer:
175(130)^t) < 1200
Step-by-step explanation:
The occupancy is 1200 so it must me less than 1200 (<1200)
the number of people in at any time is 100% of the people in or 1.00
and it increases by 30% or 0.30 (1.30)
And it starts with 175 people (1.75)
so
start people / How its increases / to the power of t / less than capacity
175 (1.30) 
< 1200
First answer is 4 chances and second answer is 2 chances
