Find an exponential function to model the data below and use it to predict about how many widgets will be produced in 2019. Round to the nearest million widgets. $$\begin{array} { c | c }
& \begin{array} { c }
\text { Number of Widgets } \
\text { Years after 2010 }
\end{array} \
\hline 1 & 1.9 \
2 & 3.0 \
3 & 4.6 \
4 & 6.3 \
5 & 8.6
\end{array}$$
A) 41 million widgets
B) 11 million widgets
C) 60 million widgets
D) 20 million widgets

Question

Find an exponential function to model the data below and use it to predict about how many widgets will be produced in 2019. Round to the nearest million widgets. $$\begin{array} { c | c } 
& \begin{array} { c } 
\text { Number of Widgets } \
\text { Years after 2010 }
\end{array} \
\hline 1 & 1.9 \
2 & 3.0 \
3 & 4.6 \
4 & 6.3 \
5 & 8.6
\end{array}$$
A) 41 million widgets
B) 11 million widgets
C) 60 million widgets
D) 20 million widgets

Quizplus · Accepted Answer

The data suggests an exponential growth pattern. By fitting an exponential function of the form $ y = ab^x $ to the data, we can estimate the parameters and use the function to predict the number of widgets in 2019 (9 years after 2010). The closest prediction to the given choices is 41 million widgets.

Find an Exponential Function to Model the Data Below and Use