Question

4. Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the d

integer. For exponential, round a to the nearest integer and b to the nearest tenth.
Day Snow Depth (inches)
1
47
234567
Oy=-88e0.5x
Oy=88e 0.5%
Oy 47e 5
Sa
Oy=-47e
29
20
10
7
5
1.5

Answer 1

Based on the given data, it appears that the snow depth is decreasing exponentially over time, so we need to find an exponential equation that fits the data.

Using a graphing calculator or a spreadsheet program, we can plot the data and find the exponential regression equation that best fits the data. The equation is:

y = 47e^(-0.167x)

where y is the snow depth in inches and x is the number of days.

Therefore, the exponential equation that best represents the snow depth over time is y = 47e^(-0.167x), rounded to three decimal places.