Question

Which characteristics of a graph tell you that it represents a proportional relationshipUse the scale factor to find the area of the enlarged figure. Explain your steps.A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a ?

Answer 1

The characteristics of a graph that indicate a proportional relationship are a straight line through the origin with data points lying on the line. To find the width of the larger rectangle, multiply the scale factor (3.2) by the width of the smaller rectangle (4).

Step-by-step explanation:

The characteristics of a graph that tell you it represents a proportional relationship are a straight line passing through the origin (0,0) and the data points lying on the line. A proportional relationship means that as one variable increases, the other variable increases or decreases at a constant rate.

In this case, the length of the larger rectangle is 25.6, which is 3.2 times the length of the smaller rectangle (25.6/8 = 3.2). The width of the larger rectangle can be found by multiplying the scale factor (3.2) by the width of the smaller rectangle (4), giving us a width of 12.8.