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Question

A life insurance company needs a model to approximate the death rate of citizens during the years they are in the work force. The table gives the death rate $R$ per 1000 for individuals of age $x$. (Source: Department of Health and Human Services)

x | 20 | 30 | 40 | 50 | 60 |
---|---|---|---|---|---|

R | 1.0 | 1.4 | 2.3 | 4.7 | 11.7 |

A model for these data is

$\begin{aligned} & R=-91.1-6.313 x+0.035 x^2+45.794 \sqrt{x} \\ & 20 \leq x \leq 60 \end{aligned}$

Use a graphing utility to plot the data and graph the model.

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