SOLUTION: Hi please help me with this thankyou A clown will come to childrens parties for a base fees plus $5.25 per child.The total fee for the party with 10 children is $102.50

Algebra ->  Linear-equations -> SOLUTION: Hi please help me with this thankyou A clown will come to childrens parties for a base fees plus $5.25 per child.The total fee for the party with 10 children is $102.50       Log On


   



Question 107503: Hi please help me with this
thankyou
A clown will come to childrens parties for a base fees plus $5.25 per child.The total fee for the party with 10 children is $102.50

a) What is the rate of change
b)Write the equation for the cost of hiring the clown , F in terms of number of children ,c
c)Graph the equation from b.
d)What does the vertical intercept represent in this situation

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A clown will come to childrens parties for a base fees plus $5.25 per child.The total fee for the party with 10 children is $102.50
----------------
Let "x" be the number of children attending the party.
------------------
a) What is the rate of change
rate is [change in cost]/[change of one in # of children attending] = 5.25
--------------------
b)Write the equation for the cost of hiring the clown , F in terms of number of children ,c
You have a point and a slope:
Point: (10,102.50) and m=5.25
Substitute in F(c)=5.25x+b to solve for "b"
102.50=5.25*10+b
102.50 = 52.50 + b
b = 50
EQUATION:
F(x) = 5.25c + 50
=========================

c)Graph the equation from b.
graph%28400%2C300%2C-10%2C50%2C-10%2C100%2C5.25x%2B50%29
----------------
d)What does the vertical intercept represent in this situation
The clown will receive $50 even if no students show up.
-------------------
Cheers,
Stan H.