In the diagram below, what is the relationship between the number of triangles, n, and the perimeter, P, of the figure they form?
(1 point)
Responses
P= 7n + 3
P= 7n + 3
P=4n + 6
P=4n + 6
P= 10n
P= 10n
P=6n + 4
P=6n + 4
To determine the relationship between the number of triangles, n, and the perimeter, P, of the figure they form, we need to analyze the diagram given.
In the answer choices provided, we have different equations that relate n and P. Let's go through each equation and understand how it corresponds to the given diagram:
1) P = 7n + 3: This equation suggests that the perimeter, P, is equal to 7 multiplied by the number of triangles, n, plus 3. So for each additional triangle, the perimeter increases by 7 units, and there is an extra 3 units added.
2) P = 4n + 6: This equation suggests that the perimeter, P, is equal to 4 multiplied by the number of triangles, n, plus 6. So for each additional triangle, the perimeter increases by 4 units, and there is an extra 6 units added.
3) P = 10n: This equation suggests that the perimeter, P, is equal to 10 multiplied by the number of triangles, n, without any additional constant. So for each additional triangle, the perimeter increases by 10 units.
4) P = 6n + 4: This equation suggests that the perimeter, P, is equal to 6 multiplied by the number of triangles, n, plus 4. So for each additional triangle, the perimeter increases by 6 units, and there is an extra 4 units added.
By analyzing the given options, we can see that the equation that best represents the relationship between n and P in the diagram is P = 6n + 4.