Use the image to answer the question.
A graph shows the x-axis representing age of human in years ranging from 0 to 8 in increments of 1, and the y-axis representing age of dog in years ranging from 0 to 24 in increments of 3. A line is drawn. The line begins at the origin and passes through left parenthesis 3 comma 21 right parenthesis.
The age of a dog is proportional to the age of a human. Based on the graph, determine a dog’s age if a human is 3 years old.
(1 point)
A 3-year-old human is the same as a
-year-old dog.
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Based on the graph, if a human is 3 years old, a dog would be 21 years old.
Based on the graph, if a human is 3 years old, the line intersects the y-axis at the point (0, 9). This means that a 3-year-old human is the same as a 9-year-old dog.
To determine the age of a dog if a human is 3 years old based on the graph, we need to find the corresponding point on the line where the x-coordinate (human's age) is 3.
From the given information, we can see that the line begins at the origin (0,0) and passes through the point (3,21).
To find the slope of the line, we can use the formula: slope = (change in y-coordinate) / (change in x-coordinate).
In this case, the change in y-coordinate is 21 - 0 = 21, and the change in x-coordinate is 3 - 0 = 3.
So, the slope of the line is 21/3 = 7.
Now, we can use this slope to find the age of the dog corresponding to a human age of 3.
If a 3-year-old human is the same as a "x"-year-old dog, we can set up the equation: 3/7 = x/21.
To solve for x, we can cross multiply: 3*21 = 7*x.
So, 63 = 7x.
Dividing both sides by 7, we get: 63/7 = x.
Therefore, a 3-year-old human is the same as a 9-year-old dog.
So the answer is a 9-year-old dog.