7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?

f (c) = 17.12c - 14.56c + 5.40 (.5c) - 1.20 (.5c)

f (c) = 17.12c - 14.56c + 5.4c - 1.20c

f (c) = 14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12 (.5c) - 5.40 (.5c)

Question

Mathematics

Valentina Dominguez

5 September, 01:38

7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?

f (c) = 17.12c - 14.56c + 5.40 (.5c) - 1.20 (.5c)

f (c) = 17.12c - 14.56c + 5.4c - 1.20c

f (c) = 14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12 (.5c) - 5.40 (.5c)

+1

Answers (2)

Know the Answer?

Lilian Whitehead · Answer 1

f (c) = 17.12c - 14.56c + 5.40 (.5c) - 1.20 (.5c)

Step-by-step explanation:

Let's build the f (c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f (c) = 17.12c - 14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

So

f (c) = 17.12c - 14.56c + 5.40 (.5c) - 1.20 (.5c)

Cedric Buckley · Answer 2

f (c) = 17.12c - 14.56c + 5.40 (.5c) - 1.20 (.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c + 5.40 (.5c)) and cost (14.56c+1.20 (0.5c)). That difference is expressed by the function shown above.