Question

The cost, c(x), for a taxi ride is given by c(x) = 2x + 2.00, where is the
number of minutes.
On a piece of paper, graph c(x) = 2x + 2.00. Then determine which answer
matches the graph you drew, including the correct axis labels.

Answer 1

Answer:

Graph D is the correct answer

Step-by-step explanation:

The graph of $c(x)=2x+2.00$ is attached.

The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.

Also,  the slope of $c(x)=2x+2.00$ is 2, and the y-intercept is 2.

Now let us look at the choices given and determine which graph represents the function $c(x)$.

The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.

The second graph has y-intercept of 3—also not our graph.

The third graph also has a y-intercept of 3—this does match our graph either.

The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.

Therefore, the graph that matches our graph is D.

Answer 2

The graph of $c(x) = 2x + 2.00$ matches the graph of option D

How do we make graph of a function?

Suppose the considered function whose graph is to be made is $f(x)$

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values $f(x)$ are plotted on the vertical axis.

They are together plotted on the point

$(x,y) = (x, f(x))$

This is why we usually write the functions as:

$y = f(x)$

For this case, the cost of the taxi ride depends on the time spent in minutes.

That is why, we draw the graph such that horizontal axis gets values for x  (the number of minutes passed) and the vertical axis gets the values of c(x) which is cost.

The number of minutes can range from 0 to any value above, but not below 0.

Evaluating c(x) for at least 2 values, and joining the line segment not below x= 0 will give us the needed graph.

x          c(x) = 2x + 2

0           0 + 2 = 2

1             2 + 2 = 4

Plot two points (0,2), and (1,4), join them and continue on left side, and not behind x = 0.

Based on above concepts, we get the graph as attached below:

Thus, the graph of $c(x) = 2x + 2.00$ matches the graph of option D

Learn more about graphing functions here:

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