Question

the food is a function of the number of family members, reyes family has Php 1,500,00 food budget for each member of their family in a month.express the total food budget(B) as a function of number of family members (n) in a month

Answer 1

Given:

• In Reyes family, the food budget for each member is $Php150000$ per month.
• The total food budget of the family is denoted by "$B$".
• The total number of family members is denoted by "$n$".

To find:

To express the total food budget as a function of the number of family members.

To be recollected:

Php : "Php" is the denotation of Philippines currency. It is the abbreviation given to the currency name "Philippines Peso".

Answer:

• As per the given data, the monthly food budget for single person in the family is $Php 150000$.
• Let the monthly budget of single person be denoted by "$S$".
• The total food budget of the family is denoted by "$B$", and the number of family members is denoted by "$n$", as provided in the given data.

Now, the expression for the total food budget as a function of number of family members is given by:

$B=S(n)$.....(1)

Substituting the monthly food budget for single person in equation (1) in the place of "$S$", it gives:

$B=150000(n)\\B=150000n$

Final Answer:

∴The final equation required to express the total food budget of the family in terms of the number of family members is "$B=150000n$".