Exponential function would better model the data because as $x$ increases, the $y$ values change by a nearly constant multiplicative factor. The growth factor of this function is …
the amount of money in a savings account over time is given in the table below. answer the questions below to explain what kind of function would better model the data, linear or exponential.
| number of years since account opened, x | 1 | 2 | 3 | 4 |
| --- | --- | --- | --- | --- |
| money in account ($), f(x) | 179.92 | 217.63 | 259.08 | 312.15 |
answer attempt 1 out of 2
function would better model the data because as ( x ) increases, the ( y ) values change. the of this function is approximately |.
the amount of money in a savings account over time is given in the table below. answer the questions below to explain what kind of function would better model the data, linear or exponential.
| number of years since account opened, x | 1 | 2 | 3 | 4 |
| --- | --- | --- | --- | --- |
| money in account ($), f(x) | 179.92 | 217.63 | 259.08 | 312.15 |
answer attempt 1 out of 2
function would better model the data because as ( x ) increases, the ( y ) values change. the of this function is approximately |.
$217.63 - 179.92 = 37.71$
$259.08 - 217.63 = 41.45$
$312.15 - 259.08 = 53.07$
$\frac{217.63}{179.92} \approx 1.21$
$\frac{259.08}{217.63} \approx 1.19$
$\frac{312.15}{259.08} \approx 1.20$
Linear differences vary widely; ratios are nearly constant.
Exponential function would better model the data because as $x$ increases, the $y$ values change by a nearly constant multiplicative factor. The growth factor of this function is approximately 1.20.
$217.63 - 179.92 = 37.71$
$259.08 - 217.63 = 41.45$
$312.15 - 259.08 = 53.07$
$\frac{217.63}{179.92} \approx 1.21$
$\frac{259.08}{217.63} \approx 1.19$
$\frac{312.15}{259.08} \approx 1.20$
Linear differences vary widely; ratios are nearly constant.
Exponential function would better model the data because as $x$ increases, the $y$ values change by a nearly constant multiplicative factor. The growth factor of this function is approximately 1.20.
the amount of money in a savings account over time is given in the table below. answer the questions below to explain what kind of function would better model the data, linear or exponential. | number of years since account opened, x | 1 | 2 | 3 | 4 | | --- | --- | --- | --- | --- | | money in account ($), f(x) | 179.92 | 217.63 | 259.08 | 312.15 | answer attempt 1 out of 2 function would better model the data because as ( x ) increases, the ( y ) values change. the of this function is approximately |.
Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806
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