Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

of toc they in. Quadratic vi. Exponential
LT 10c, Linear vs. Quadratic vs. Exponential
Ben Aqtiw113hm
folms
10
S.bemitine
mexturnalitod
The value of a certain investment over time is given ir Answer the questions below to explain what kind of fancteon would belter moxt the data, linear or exponential.





1
2
3
4



11,854.00
loulen in
A.s76.00
7318.96

of toc they in. Quadratic vi. Exponential\newlineLT 1010c, Linear vs. Quadratic vs. Exponential\newlineBen Aqtiw113113hm\newlinefolms\newline1010\newlineS.bemitine\newlinemexturnalitod\newlineThe value of a certain investment over time is given ir Answer the questions below to explain what kind of fancteon would belter moxt the data, linear or exponential.\newline\begin{tabular}{|c|c|c|c|c|}\newline\hline & 11 & 22 & 33 & 44 \\\newline\hline & 1111,854854.0000 & loulen in & A.s7676.0000 & 73187318.9696 \\\newline\hline\newline\end{tabular}

Full solution

Q. of toc they in. Quadratic vi. Exponential\newlineLT 1010c, Linear vs. Quadratic vs. Exponential\newlineBen Aqtiw113113hm\newlinefolms\newline1010\newlineS.bemitine\newlinemexturnalitod\newlineThe value of a certain investment over time is given ir Answer the questions below to explain what kind of fancteon would belter moxt the data, linear or exponential.\newline\begin{tabular}{|c|c|c|c|c|}\newline\hline & 11 & 22 & 33 & 44 \\\newline\hline & 1111,854854.0000 & loulen in & A.s7676.0000 & 73187318.9696 \\\newline\hline\newline\end{tabular}
  1. Calculate Difference Year 11 Year 22: Calculate the difference in value between Year 11 and Year 22.$13,576.00$11,854.00=$1,722.00\$13,576.00 - \$11,854.00 = \$1,722.00.
  2. Calculate Difference Year 22 Year 33: Calculate the difference in value between Year 22 and Year 33.\newline$15,876.00$13,576.00=$2,300.00\$15,876.00 - \$13,576.00 = \$2,300.00.
  3. Notice Non-Constant Differences: Notice the differences between consecutive years are not constant, which suggests the function might be exponential.
  4. Calculate Ratio Year 22 Year 11: Calculate the ratio of the value from Year 22 to Year 11.\newline$13,576.00/$11,854.001.145\$13,576.00 / \$11,854.00 \approx 1.145.
  5. Calculate Ratio Year 33 Year 22: Calculate the ratio of the value from Year 33 to Year 22.$15,876.00/$13,576.001.169\$15,876.00 / \$13,576.00 \approx 1.169.
  6. Notice Close Ratios: Notice the ratios between consecutive years are not constant, but they are close. This suggests the function might be exponential, but we need to check one more year to be sure.
  7. Calculate Ratio Year 44 Year 33: Calculate the ratio of the value from Year 44 to Year 33.$18,318.96/$15,876.001.154\$18,318.96 / \$15,876.00 \approx 1.154.

More problems from Write linear and exponential functions: word problems