High School

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The graph represents revenue in dollars as a function of greeting cards sold.

A coordinate plane shows Greeting Card Revenue, with the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0, 0) and passes through (2, 8), (4, 16), and ends at (5, 20).

Which equation represents the function shown on the graph?

A. [tex]y = x[/tex]
B. [tex]y = x[/tex]
C. [tex]y = 2x[/tex]
D. [tex]y = 4x[/tex]

Answer :

A function assigns the values. The equation that represents the function shown on the graph is y=4x.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the graph represents revenue in dollars as a function of greeting cards sold. Therefore, we can write the function as,

Revenue ∝ Number of cards sold

Since the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. Therefore, we can write,

y ∝ x

Removing the proportionality, we will get,

y = k x

Now, substitute any point through which the graph of the function passes to get the value of k,

20 = k × 5

20/5 = k

k = 4

Thus, the function can be represented as,

y = kx

y = 4x

Hence, the equation that represents the function shown on the graph is y=4x.

Learn more about Function here:

https://brainly.com/question/5245372

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