Exponential Decay and Graphing with Desmos

The video tutorial demonstrates solving a problem using both the TI-84 graphing calculator and Desmos. It focuses on an exponential decay function modeling a wrestler's weight loss, explaining how to calculate weight after 5 weeks and determine the time to reach a specific weight using graphical methods. The tutorial provides step-by-step instructions on using Desmos to evaluate functions and find intersection points, concluding with a summary of the results.

What tool is introduced to solve the problem graphically?

• Desmos

• Google Sheets

• Python

• Microsoft Excel

What is the initial weight of the wrestler?

• 270 lbs

• 250 lbs

• 290 lbs

• 300 lbs

What percentage of weight does the wrestler lose each week?

• 1.5%

• 1.0%

• 2.0%

• 1.3%

What is the base of the exponential decay function?

• 0.987

• 1.013

• 1.087

• 0.913

How do you evaluate the function for 5 weeks in Desmos?

• Enter W(0.05)

• Enter W(50)

• Enter W(0.5)

• Enter W(5)

What is the approximate weight of the wrestler after 5 weeks?

• 27.0 lbs

• 20.5 lbs

• 25.0 lbs

• 22.9 lbs

What constant function is entered to find the intersection for the second question?

• W(T) = 200 lbs

• W(T) = 197.4 lbs

• W(T) = 210 lbs

• W(T) = 180 lbs

What is the x-axis range set to for better visibility in Desmos?

• -10 to 40

• -5 to 30

• 0 to 50

• -20 to 20

How many weeks does it take for the wrestler to weigh 197.4 lbs?

• 24 weeks

• 20 weeks

• 22 weeks

• 26 weeks

What is the final weight found graphically after 24 weeks?

• 200 lbs

• 190 lbs

• 197.4 lbs

• 195 lbs