Question

A caterer will make cabbage sandwiches for special occasions by charging a one-time fee of 50, plus 8 for each sandwich. Find the total cost in dollars for an order of \[c\] cabbage sandwiches?

Answer 1

Hint: All the things we need to solve is given in the question. From given we will find the relation of the ordered cabbage sandwiches with the value of one sandwich and find the total cost for \[c\] sandwiches.

Complete step by step solution:
It is given in the question that the caterer charges a one-time fee of $50$ for order over every special occasion.
Also it is given that $8$ is the cost for each sandwich.
From the given we can understand that the caterer charges $50$ only once over every order on special occasions.
Also $8$ for one sandwich. So, for \[c\] sandwiches we have to multiply $8$ by \[c\].
That is, $8$ is the cost in dollars for \[c\] sandwiches.
\[8c\] is the cost of \[c\] sandwiches but it is not enough to buy \[c\] sandwiches as the caterer charges a one-time fee for every order.
So the buyer has to pay the one-time fee and cost of $8$ sandwiches,
The amount the buyer has to bring is the sum of one-time fee and amount of $8$ sandwiches.
Hence, $50$ for one-time fee and \[8c\] for number of sandwiches, then
The total cost in dollars is just \[50 + 8c\]

$\therefore$ The total cost of 8 sandwiches in dollars is \[50 + 8c\].

Note: Here we should be careful while writing the total cost because we may leave the one-time fee. If you observe in the total cost one variable $c$ is there, and one constant value is there. These kinds of representations are known as linear expressions with one variable.