Question

The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?

Answer 1

Answer:

Year - (1993 - 1995)

Step-by-step explanation:

Rate of change in the number of toys sold = $\frac{\text{change in number of toys sold}}{\text{Time interval}}$

In the interval (1990 - 1993),

Rate of change in number of toys sold = $\frac{32000-20000}{1993-1990}$

                                                                = $\frac{12000}{3}$

                                                                = 4000

In the interval (1993 - 1995),

Rate of change = $\frac{42000-32000}{1995-1993}$

                          = $\frac{10000}{2}$

                          = 5000

In the interval (2000 - 1995),

Rate of change = $\frac{57000-42000}{2000-1995}$

                          = $\frac{15000}{5}$

                          = 3000

In the interval (2006 - 2000),

Rate of change = $\frac{63000-57000}{2006-2000}$

                          = $\frac{6000}{6}$

                          = 1000

Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).