Question

The total cost ,c, of renting a Canoe for n hours can be represented by a system of equations. Write the system of equations that could be used to find the total cost ,c, of renting a canoe for , n, hours

Answer 1

Answer:  $\left \{ {{c=28} \atop {c=3n+13}} \right.$

Step-by-step explanation:

The missing data is: " The cost of renting a conoe to use on River Y costs $28. The cost of renting a conoe to use on River Z costs $3 per hour plus a $13 deposit".

Let's find the first equation.

You know that the cost of renting a conoe to use on River Y costs $28. This is:

$c=28$

To find the second equation you need to remember the Slope-Intercept form of a Linear equation. This is:

$y=mx+b$

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:

$m=3\\b=13$

Therefore,  the equation that represents this situation is:

$c=3n+13$

So, the System of equations that could be used to find the total cost "c" of renting a canoe for "n" hours, is:

$\left \{ {{c=28} \atop {c=3n+13}} \right.$