Certainly! Let's interpret the information given and select the correct answer from each drop-down menu.
We have the function [tex]\( c(g) \)[/tex] which represents the total cost, including shoe rental, for bowling [tex]\( g \)[/tex] games at Pin Town Lanes.
Given that [tex]\( c(6) = 33 \)[/tex], this means that the cost to bowl 6 games is [tex]$33.
We need to find the equation \( c(g) = 5g + 3 \), which represents the cost of bowling \( g \) games.
So let's break down the equation:
- \( 5g \) represents the cost per game, where each game costs $[/tex]5.
- [tex]\( 3 \)[/tex] represents the fixed cost, likely a shoe rental fee.
Putting this together:
1. The term [tex]\( 5g \)[/tex] indicates that for each game, an additional [tex]$5 is added to the total cost.
2. The fixed cost of $[/tex]3 is added to cover shoe rental.
Thus, the answers we fill in are:
- [tex]\( c(g) = 5g + 3 \)[/tex]
- This is the equation that models the total cost of bowling [tex]\( g \)[/tex] games including the shoe rental fee.
So, the drop-down selections should be:
1. [tex]\( c(6) = 33 \rightarrow c(g) = 5g + 3 \)[/tex]
2. This matches the equation [tex]\( c(g) = 5g + 3 \)[/tex]
The final output should look something like this:
"Let [tex]\( c(g) \)[/tex] be the total cost, including shoe rental, for bowling [tex]\( g \)[/tex] games at Pin Town Lanes. So, [tex]\( c(6) = 33 \)[/tex]. This means that [tex]\( c(g) = 5g + 3 \)[/tex], the total cost formula."
Completing the blanks in the provided sentence:
Let [tex]\( c(g) \)[/tex] be the total cost, including shoe rental, for bowling [tex]\( g \)[/tex] games at Pin Town Lanes.
So, [tex]\( c(6) = 33 \)[/tex]. This means that [tex]\( c(g) = 5g + 3 \)[/tex], the equation.
