Justin has a home-based business putting on children's parties. he charges $30 to design the party and then $10.00 per child. write a function rule that relates the total cost of the party to the number of children n.

The total cost of the party (C), can be expressed as;

C=10 n+30, where n is the number of children

Step-by-step explanation:

Step 1

We can use the expression below to calculate the total cost of the party as shown;

C=F+(V×n)

where;

C=total cost of the party

F=fixed cost to design party

V=cost per child

n=number of children at the party

In our case;

F=$30

V=$10

n=n

replacing;

C=30+(10×n)

C=30+10 n

The total cost of the party (C), can be expressed as;

C=10 n+30, where n is the number of children

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47