Question

Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?

Answer 1

we know that

$y=2x$ is function

so, our graph should be of function

Here, x is the number of pounds rice scooped and purchased from a bulk bin at the grocery store

y is the total cost of the rice

Since, x is the number of pounds rice scooped and purchased from a bulk bin at the grocery store

it means x is a number like 0 , 1, 2, 3

so, graph will be discrete in nature and it always starts from 0

so, we can see that

only second graph shows this relation

Hence, graph-B............Answer

Answer 2

The $\fbox{\bf option B}$ is correct match for the graph of the total cost function $y=2x$.

Further explanation:

Given:

The function of the graph is as follows:

$y=2x$

Here, $x$ is the number of pounds of rise and $y$ is total cost of rise.

Calculation:

Since, $x$ is the number of pound rice scooped and purchased from a bulk bin at the grocery store.

It means $x$ be a whole number like $0,1,2,3,4$ and so on.

Therefore, the graph of the total cost function $y=2x$ is a discrete function in nature.

The graph of the total cost function $y=2x$  is not valid for the negative value of $x$.

The graph will be passing from the following discrete point shown in table 1.

The graph of the function $y=2x$ is shown below in figure 1.

Thus, the $\fbox{\bf option B}$ is correct match for the graph of the total cost function $y=2x$.

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Answer Details :  

Grade: Middle School.  

Subject: Mathematics.  

Chapter: linear equation.  

Keywords:  

Discrete function, function, whole number, y=2x, graph of the function, set of inequality, Expression, linear equation, quadratic, expression, linear equation, zeros, function, substitution, origin, shaded, region, solution of inequality.