Algebra 1
Exponential functions
Comparing linear and exponential models
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Questions
Question 1
168143
The two tables below show values of two different functions. \[ \textbf{Table A} \begin{array}{|c|c|} \hline x & y
\hline 0 & 3
1 & 7
2 & 11
3 & 15
\hline \end{array} \qquad \textbf{Table B} \begin{array}{|c|c|} \hline x & y
\hline 0 & 3
1 & 6
2 & 12
3 & 24
\hline \end{array} \] Classify each table as linear or exponential. Justify your answer using differences or ratios.
Part a:
Linear; \(y=4x+3\)
Correct
Exponential; \(y=3\cdot 2^x\)
Linear; \(y=3x+4\)
Exponential; \(y=4\cdot 2^x\)
Part b:
Exponential; \(y=3\cdot 2^x\)
Correct
Linear; \(y=3x+3\)
Exponential; \(y=2\cdot 3^x\)
Linear; \(y=4x+3\)
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