Answer: [tex]\left \{ {{c=28} \atop {c=3n+13}} \right.[/tex]
Step-by-step explanation:
Let's find the first equation.
You know that the cost of renting a conoe to use on River Y costs $28. This is:
[tex]c=28[/tex]
To find the second equation you need to remember the Slope-Intercept form of a Linear equation. This is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
Since the cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit, you can identify that:
[tex]m=3\\b=13[/tex]
Therefore, the equation that represents this situation is:
[tex]c=3n+13[/tex]
So, the System of equations that could be used to find the total cost "c" of renting a canoe for "n" hours, is:
[tex]\left \{ {{c=28} \atop {c=3n+13}} \right.[/tex]
The expression which represent total cost of renting is, [tex]C=nx[/tex]
Let us consider that, renting a Canoe for one hour is $ x.
Total cost of renting is represented by C.
Since, renting a Canoe for one hour is $ x.
So that, for n hours, renting cost [tex]=n*x=nx[/tex]
Total cost of renting, [tex]C=nx[/tex]
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