The finances of a group of pet owners were analyzed to determine how much they were spending on their pet(s) each year. a graph of that data is shown:
a graph with number of owners on the x axis and yearly cost of pets, in hundreds, on the y axis. the x axis has a scale from 1 to 10 with an increment of 1. the y axis has a scale of 5 to 15 with increments of 1. a curved line connecting 1, 15, approx 3, 7, and 10, 0 is drawn.
would (4.5, 6) be a realistic solution for the function? explain.
yes, it is realistic that owners spend $600 a year on their pet(s).
no, it is not realistic that owners spend $600 a year on their pet(s).
yes, it is realistic to have 4.5 owners.
no, it is not realistic to have 4.5 owners.

Option D.

Step-by-step explanation:

In the given graph x-axis represents the number of owners and y-axis represents yearly cost of pets, in hundreds.

It is given that the graph passes through the points (1,15), (3,7) and (10,0).

We need to check whether (4.5, 6) is a realistic solution for the function or not. (4.5,6) point represents

Number of owners = 4.5

yearly cost of pets = 6

It is realistic that owners spend $600 a year on their pet(s).

Number of owners can not be a fraction value. So, it is not realistic to have 4.5 owners.

Therefore, the correct option is D.

Graphs are used to show the relationships between related variables.

(4.5, 6) would not be a realistic solution because it is not realistic to have 4.5 owners.

From the question, we have:

Number of owners

Yearly cost of pets

Given that:

This means that:

Considering that x represents the pet owners.

Since it is not possible to have a 0.5 pet owner (i.e. a person cannot be represented with decimals)

Then, (4.5, 6) would not be a realistic solution.

Read more about realistic solutions at:

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