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The x-axis represents days after February 23, year 2020 which range from 0 to 50 in increments of 10 and the y-axis represents cumulative cases which ranges from 0 to 110,000 in increments of 20,000. The graph shows an upwards sloped curve which starts from left parenthesis 0 comma 0 right parenthesis and ends at left parenthesis 40 comma 110,000 right parenthesis. The curve equation which represents this curve is y equals 43.4 superscript asterisks left parenthesis 1 plus 0.22 right parenthesis superscript x. It also shows another curve made with asterisks which starts from the origin and ends at left parenthesis 44 comma 80,000 right parenthesis.
The graph shows the total number of COVID-19 cases in the UK from February 23 to April 17 in 2020. The dots or stars represent the actual data points, and the line is an exponential fit for the data points. Each value in the x-axis shows days since COVID cases started to be measured in the UK, with “day 1” representing February 23. The y-axis shows the total number of cases per day. Which of the following correctly uses the graph to determine the best estimate for the number of COVID-19 cases in the UK on day 20?
(1 point)
Responses
2,000 cases
2,000 cases
15,000 cases
15,000 cases
10,000 cases
10,000 cases
12,000 cases
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GPT-5 mini
AI
2,000 cases.
Using the fit y = 43.4(1.22)^x at x = 20: y ≈ 43.4*(1.22)^20 ≈ 43.4*53.1 ≈ 2,300, which rounds to about 2,000 (closest choice).
Using the fit y = 43.4(1.22)^x at x = 20: y ≈ 43.4*(1.22)^20 ≈ 43.4*53.1 ≈ 2,300, which rounds to about 2,000 (closest choice).
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