The number of burglaries in a city is depicted in two different graphs below. Burglary Counts Graph A 300 250 200 150 100 50 0 Burglaries Year 1 Year 2 Year 3 Year 4 Year 5 Burglary Counts Graph B 300 290 280 270 260 250 240 230 220 210 200 Burglaries Year 1 Year 2 Year 3 Year 4 Year 5 Step 1 of 2: How many times as many burglaries were there actually in Year 4 compared to Year 1? Round your answer to 2 decimal places.
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Number of burglaries in Year 4 = 270 Number of burglaries in Year 1 = 300 270 / 300 = 0.9 So, there were 0.9 times as many burglaries in Year 4 compared to Year 1. Show more…
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The number of robberies in a city is depicted in two different graphs below. Robbery Counts Graph A Robberies Year 1 Year 2 Year 3 Year 4 Year 5 Robbery Counts Graph B Robberies Year 1 Year 2 Year 3 Year 4 Year 5 Step 1 of 2: How many times more robberies were there actually in Year 3 compared to Year 5? Round your answer to 2 decimal places. Step 2 of 2: Which graph do you feel better represents the data? Answer Neither Graph A nor Graph B accurately represent the data. Both Graphs A and Graph B accurately represent the data. Graph A best represents the data. Graph B best represents the data.
Adi S.
Jon S.
You will use polynomial functions to study real-world problems. The numbers of burglaries (in thousands) in the United States can be modeled by the following cubic function, where $x$ is the number of years since $1985 .$ $$b(x)=0.6733 x^{3}-22.18 x^{2}+113.9 x+3073$$ (a) What is the $y$ -intercept of the graph of $b(x)$, and what does it signify? (b) Find $b(6)$ and interpret it. (c) Use this model to predict the number of burglaries that occurred in the year 2004 (d) Why would this cubic model be inaccurate for predicting the number of burglaries in the year $2040 ?$
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