Question

The graph below shows the proportional relationship between the area of a triangle, T, and
the area of a rectangle, R, with identical base length and height.
COMPARING AREAS
TA
10
9
8
6
Area of Triangle,
square units
5
(10,5)
(8.4)
(6,3)
3
Nw
2
[(4,2)
1
R
0 1 2 3 4 5 6 7 8 9 10
Area of Rectangle,
square units
Which equation represents the relationship between T and R?
А
T= 2R
T
R
B T=1
C R = 1/5
DR = 27
R
T

Answer 1

The equation that represents the proportional relationship between T and R is: T = 1/2(R).

What is a Proportional Relationship?

A proportional relationship is modelled by the equation, y = kx, where:

k = constant of proportionality = y/x

Given the following:

T = area of triangle (y)

R = area of rectangle (x)

If both are in a proportional relationship, let's find K using any of the points on the graph:

k = 2/4 = 5/10 = 3/6 = 1/2.

Thus, plug k = 1/2, y = T, and x = R into y = kx:

T = 1/2(R)

Therefore, the equation that represents the proportional relationship between T and R is: T = 1/2(R).

Learn mroe about proportional relationship on:

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