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Algebra
Question

APPLICATION (13 marks) 6. To host a children's par...

APPLICATION (13 marks) 6. To host a children's party at an indoor playground, a family pays a non-refundable deposit plus an additional amount for each child attending. If \( 10 \) children attend, the total cost is \( \$ 380 \) . If \( 15 \) children attend, the total cost is \( \$ 440 \) . (a) Write an equation to relate the total cost, \( C \) , to the number of children attending, \( n . ( 3 \) marks

Answer

y=kx+b

k=\(\frac{440- 380}{15- 10} = 12\)

passing through(10,380), (15,440)

12×10+b=380

b=260

Solution
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