Question

Consider a rectangle with width of x units and an area of 10 square units. The length 1 of the rectangle can be
modeled by the function 7(x) = 10. Suppose the width of the rectangle increases 1 unit, while the area remains
constant. Which graph models the length of the new rectangle?

Answer 1

The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

Answer 2

The graph in option 3 models the length of the new rectangle.

What is a rectangle ?

• Any figure bounded by 4 sides where the opposite sides are equal and all the angles are 90° is called rectangle.
• Area of the rectangle can be found by multiplying the length with its breadth.

How to find which graph models the length of the new rectangle?

According to the problem,

• width of the rectangle is  x units
• Area of the rectangle is 10 square units
• Length of the rectangle is given by f(x) = 10/x

Now if width becomes (x+1) units

∴ Length will be represented as 10/(x+1)

Now from the given options we need to find the exact graph of              f(x) = 10/(x +1)

Here if x = 4 , y =2

So the point (4 , 2) is satisfied which is only happening in the graph of option 3

Option 3 represents the correct graph

Find more about "Graphs" here : https://brainly.com/question/4025726

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