Question

It costs \[\$ 3\] to bowl a game and \[\$ 2\] for shoe rental. How do you write an expression for the cost of g games?

Answer 1

Hint: In this question, we have been given that the cost of bowling a game is around \[\$ 3\] and for shoe rental it's \[\$ 2\] , thus we need to write an equation or expression for the cost of g number of games. There will be two different cases as it is not mentioned whether the person has to buy shoes for every game or just once. So, find two equations following both the conditions.

Complete step by step answer:
The price depends on whether shoes are included for the whole game or not. In case it does, you just have to pay them once and then you have to pay for g number of games, so the expression for the following scenario will be as shown:
\[P\left( g \right) = 2 + 3g\]
Else, if the case is not as we stated earlier then you have to pay for g number of shoes and g number of bowl party, so the expression will turn into:
\[ \Rightarrow P\left( g \right) = 2g + 3g\]
\[ \Rightarrow P\left( g \right) = 5g\]
When we know if a mathematical problem is expressed in words, first try to present all the information relevant to the problem in terms of symbolic representation, mathematical form, inequality, etc.
And once you have a representation that represents the problem - usually in the form of a set of equal scales to be solved, try to eliminate each variation by rearranging the words, using basic mathematical functioning and substitution.
These values get converted back into the context and language of the problem to express the solution.

Note: Also, in case someone doesn't know what independent variables are then the following equation will be the direct solution to the problem.
Cost= \[3G + 2.50P\]
Where, G- the number of games you play
P- the amount of people renting shoes
This is a generalized answer.