Question

At the beginning of each year, Kristen stepped on her scale and resolved to become more fit.
Kristen's weight
Year Weight (kg)
2021 248
2022 215
2023 257
2024 213
2025 228
According to the table, what was the rate of change between 2022 and 2025?
Round your answer to the nearest tenth.
kilograms per year

Answer 1

To find the rate of change in Kristen's weight between the years 2022 and 2025, we can use the formula:

\[
\text{Rate of Change} = \frac{\text{Weight in 2025} - \text{Weight in 2022}}{\text{Year 2025} - \text{Year 2022}}
\]

From the table, we have:

- Weight in 2022 = 215 kg
- Weight in 2025 = 228 kg

Now, substituting these values into the formula:

\[
\text{Rate of Change} = \frac{228 \, \text{kg} - 215 \, \text{kg}}{2025 - 2022}
\]

Calculating the difference in weight:

\[
228 - 215 = 13 \, \text{kg}
\]

Calculating the difference in years:

\[
2025 - 2022 = 3 \, \text{years}
\]

Now, substituting these differences back into the rate of change formula:

\[
\text{Rate of Change} = \frac{13 \, \text{kg}}{3 \, \text{years}} \approx 4.3333 \, \text{kg/year}
\]

Rounding this to the nearest tenth, we get:

\[
\text{Rate of Change} \approx 4.3 \, \text{kg/year}
\]

Thus, the rate of change between 2022 and 2025 is approximately **4.3 kilograms per year**.