Question

Look at the pattern in the figure given below.

Which equation describes the relationship between the figure number (f) and the

number of dots (d) in each figure?

A d = 4f +18

B d = 4f + 14

C d = 4f +10

D d = 4f + 6

viii. Which model below best represent the solution ​

Answer 1

To determine the relationship between the figure number f and the number of dots d in each figure, let's analyze the given pattern.

Looking at the figures, we can observe that each subsequent figure has an additional set of 4 dots added to the previous figure. This means that we have a constant increment of 4 dots for each figure.

To express this relationship algebraically, we can say that the number of dots d is equal to the figure number f multiplied by the constant increment of 4, plus an initial value.

The equation that represents this relationship is:

d = 4f + {initial value}

Now, let's determine the initial value. By examining the figures, we can see that the initial figure (Figure 1) has 18 dots. Therefore, the initial value is 18.

Substituting the initial value into the equation, we get:

d = 4f + 18

So, the correct equation describing the relationship between the figure number f and the number of dots d in each figure is:

d = 4f + 18

Therefore, the correct answer is option A: d = 4f + 18.