Question

At the beginning of each year, Kate stepped on her scale and resolved to become more fit.

Kate's weight Year Weight (kg)

2010

243

2011

247

2012

258

2013

245

2014

243

According to the table, what was the rate of change between 2010 and 2013?

Round your answer to the nearest tenth.

kilograms per year

Submit

Answer 1

To find the rate of change in Kate's weight between 2010 and 2013, we can use the formula for the rate of change, which is:

\[
\text{Rate of Change} = \frac{\text{Final Value} - \text{Initial Value}}{\text{Number of Years}}
\]

From the table, we have the following weights:

- 2010: 243 kg (Initial Value)
- 2013: 245 kg (Final Value)

Now we can plug these values into the formula:

\[
\text{Rate of Change} = \frac{245 - 243}{2013 - 2010} = \frac{2}{3} \approx 0.6667
\]

To round this to the nearest tenth:

0.6667 rounds to 0.7.

Thus, the rate of change in Kate's weight between 2010 and 2013 is approximately **0.7 kilograms per year**.