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

The total cost of renting a canoe for n hours can be represented by the system of equations: c = x * n and c = x * n + y.

Step-by-step explanation:

The total cost, c, of renting a canoe for n hours can be represented by a system of equations.

Let's assume that the rental fee per hour is x

Therefore, the equation for the total cost in terms of the number of hours rented can be written as:

c = x * n

Additionally, there might be an initial cost or a fixed cost upon renting the canoe. Let's assume that this cost is represented by y.

Therefore, the equation for the total cost can be written as:

c = x * n + y

These two equations form the system of equations that can be used to find the total cost, c, of renting a canoe for n hours.

Answer 2

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.`