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natulia [17]
3 years ago
8

7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an

equation that represents the cost of renting the party room in terms of the number of people attending the party .
Mathematics
1 answer:
Viktor [21]3 years ago
5 0

Answer:

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k ......i

Where C = cost

n = number of people

Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k ......1

Case 2

151.25 = 15m + k .....2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50

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\tt{ \: H \: E \: Y \: \:  T \: H \: E \: R\: E \: } !

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# \underbrace{ \tt{C \: a \: r \: r \: y \:  \: O \:n \:  \: L \: e \: a \: r \: n \: i \: n \: g}} !!

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