Question

for large parties a restaurant charges a reservation fee of $25, plus $15 per person. The total charge for a party of x people is f(x) = 15x + 25. How many people went to the restaurant for the party is the bill was $625.

Answer 1

By setting up and solving the equation 625 = 15x + 25, we find that there were 40 people at the party when the total bill was $625.

Step-by-step explanation:

To determine how many people attended the restaurant party based on the given function f(x) = 15x + 25 and the total bill amount of $625, we need to solve for x in the equation. Given that the reservation fee is a fixed cost of $25 and each person is an additional $15, we set up the equation as follows:

625 = 15x + 25

Next, we subtract the reservation fee from both sides to isolate the variable term:

600 = 15x

Now we divide both sides by 15 to solve for x:

40 = x

Therefore, there were 40 people at the party. This problem demonstrates solving basic linear equations and working with functions, which are essential concepts in algebra.

Answer 2

40 people went to the restaurant for the party.

Using the function given :

• f(x) = 15x + 25

If amount charged is 625, we can find x thus ;

625 = 15x + 25

625 - 25 = 15x

600 = 15x

x = 600/15

x = 40

Hence, 40 people went to the restaurant.