Chapter 3.4, Problem 47IP

To determine

To make a conjecture about what happens to the quotient as the value of the divisor increases.

Answer to Problem 47IP

The quotient decreases as the value of the divisor increases.

Explanation of Solution

Given information:

The model shows that $\frac{3}{4}÷\frac{1}{2}$ and $\frac{3}{4}÷\frac{1}{4}$

In the model it is provided that $\frac{3}{4}÷\frac{1}{2}$ which gives quotient equals to $\frac{3}{2}$ and $\frac{3}{4}÷\frac{1}{4}$ which gives the quotient equals to 3.in these two cases the divisors are $\frac{1}{2}$ , $\frac{1}{4}$ and the dividend is same, as $\frac{1}{2}$ is greater than $\frac{1}{4}$ and 3 is greater than $\frac{3}{2}$ , hence the conjecture that quotient decreases as the value of divisor increases is true.