To determine which option best describes the population of Giro City based on the linear graph provided, we need to analyze the information given.
- The graph shows a linear relationship between the population (in thousands) and the number of years since its founding, with the x-axis going to 10 years and the y-axis going to 60, which likely indicates that the maximum population is 60,000.
Let’s calculate the slope of the line to determine the population increase per year:
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If the population reaches about 60,000 (60 on the graph) in about 10 years (10 on the x-axis), we can use the formula for slope (which represents population growth per year):
\[ \text{slope} = \frac{\text{change in population}}{\text{change in years}} = \frac{60,000 - 0}{10 - 0} = \frac{60,000}{10} = 6,000 \text{ people per year} \]
This information does not seem to match any of the options correctly. However, let's review the choices:
A. The population has increased by 15,000 people per year. (Incorrect – our calculation indicates less) B. The population was 6,000 after 45 years. (Incorrect – we are only looking at 10 years) C. The population has increased by 7,500 people per year. (Incorrect – our calculation indicates less) D. The population was 60 people after 8 years. (Incorrect based on the scale)
None of the given options accurately reflects the calculated population increase of 6,000 per year. However, since the closest accurate choice did not appear among the responses based on calculations, I recommend you double-check the graph or consider potential misinterpretation of the options. If additional context from the graph indicates different values, please adjust accordingly.
2 answers