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Problem 7
In a Patisserie, the prices of cakes are according to the number of
people are as follows:
Cake for 5 people costs 20[tex]$. Cake for 8 people costs 32$[/tex].
Cake for 12 people costs 48$.
Explain if the price of the cake proportional to the number of people.

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olumideolawoyin

Answer:

The price of the cake proportional to the number of people.

Step-by-step explanation:

Let N be the number of people and P be the price of the cake.

If P is proportional to the N, then

P = kN, where k is constant of proportionality.

k = P/N.

If the price of the cake is truly proportional to the number of people then k should be the same for all values of P and N.

When P = $20, $32 and $48, N = 5, 8, and 12 respectively.

k = 20/5 = 32/8 = 48/12

k = 4.

Hence, the price of the cake proportional to the number of people.

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