Step-by-step explanation:
A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.
A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.
The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.
I would think this is many solutions, the reason is because, there is no specific answer (y) so, x could be anything because it would have to equal to y, which could also be anything! I hope im right! Sorry if im wrong!
Answer:
The fourth graph
Step-by-step explanation:
Let x = width
The length is one less than 3 times the width, so length = 3x - 1
So we have a rectangle with length, 3x - 1, and width, x
So the area = y = (3x-1)(x)
So our equation:
y = (3x - 1)*(x)
If we check the x-intercepts, we see that y = 0 when x = 0 and 1/3. The only graph that has (0,0) and (1/3, 0) is the fourth graph, making that one our graph.
Considering the linear function described, 500 liters of fuel were initially in the tank.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.
More can be learned about linear functions at brainly.com/question/24808124
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