The system of equations that represent the situation are as follows;
According to the question;
- Mary was trying to rent a boat and wanted to get the best plan.
For Plan A:
- Rental plan A charges a fee of
- $50 plus $25 per hour.
For Plan B:
- Plan B charges a fee of $10 plus $35 per hour.
Read more on rental charges;
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Answer:

Step-by-step explanation:

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The result of this question is -23
Answer:
y + 1 = 3(x + 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 8, - 1) , thus
y - (- 1) = 3(x - (- 8)), that is
y + 1 = 3(x + 8)
The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is
which is an ellipse.
For given question,
We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.
We need to convert given parametric equations to a rectangular equation and sketch the curve.
Given parametric equations can be written as,
x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.
We know that the trigonometric identity,
sin²t + cos²t = 1
⇒ (x/2)² + (- y/3)² = 1
⇒ 
This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.
The rectangular equation is 
The graph of the rectangular equation
is as shown below.
Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is
which is an ellipse.
Learn more about the parametric equations here:
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