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The fire department is having a BBQ fundraiser. The hot dogs costs $1.50 each and cans ofsoda cost $0.75 each. The department uses the algebraic expression 1.50x+0.75y to calculatecustomers' total expenses.a. What does the x variable represent?b. What does the y variable represent?c. A family buys 7 hot dogs and 4 sodas. What are their total expenses?

Respuesta :

a) As the expression represents the total expense for a family, the term 1.50x represents how much the familiy spends in hot dogs.

This term is the product of the price (1.50) and the number of hot dogs purchased (x).

Then, x is the number of hot dogs bought by the familiy.

b) In the same way, 0.75y represent how much the family spends in soda: 0.75 is the price and y represents the number of soda cans purchased by the family.

c) If a family buys x=7 hot dogs and y=4 sodas, we can calculate the expenses as:

[tex]\begin{gathered} E=1.50x+0.75y \\ E=1.50\cdot7+0.75\cdot4 \\ E=10.5+3 \\ E=13.5 \end{gathered}[/tex]

Their total expenses are $13.5.

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