Question

A dog show enthusiast recorded the weight of the winning dog at recent dog shows.
Weight of winning dog at a dog show
Year Weight (kg)
2019 74
2020 60
2021 67
2022 62
2023 38
According to the table, what was the rate of change between 2019 and 2022?
kilograms per year

Answer 1

To find the rate of change of the weight of the winning dog between 2019 and 2022, we can use the formula for the rate of change:

\[
\text{Rate of change} = \frac{\text{Change in weight}}{\text{Change in years}}
\]

From the table, we have:

- Weight in 2019 = 74 kg
- Weight in 2022 = 62 kg

Now, we can calculate the change in weight:

\[
\text{Change in weight} = \text{Weight in 2022} - \text{Weight in 2019} = 62 \, \text{kg} - 74 \, \text{kg} = -12 \, \text{kg}
\]

Next, we determine the change in years:

\[
\text{Change in years} = 2022 - 2019 = 3 \, \text{years}
\]

Now we can calculate the rate of change:

\[
\text{Rate of change} = \frac{-12 \, \text{kg}}{3 \, \text{years}} = -4 \, \text{kg per year}
\]

Thus, the rate of change between 2019 and 2022 is \(-4\) kilograms per year.