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)

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.

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)

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.