Unit 5: Storytelling with Functions

Multiple Choice

Let's try it!!

A strain of the cold virus is detected that spreads on average to 3 people for each person who is infected. Assuming no measures are taken to reduce the spread, which type of function would best model the number of people who have been infected with this cold over time?

• Quadratic

• Exponential

• Periodic

• Linear

Multiple Choice

Now you try:

Sasha is hooked up to a device that measures the volume of air in her lungs over time. She sits still and takes 25 deep breaths. Determine the type of function that could best model the volume of air in Sasha’s lungs as a function of time while she is hooked up to the device and taking deep breaths.

• Quadratic

• Exponential

• Periodic

• Linear

Multiple Choice

More practice:

Ibrahim is taking a road trip. At a rest area, he fills up his car with gas. He then drives on a highway at a constant speed for a few hundred miles until he has reached the exit for his destination. Determine the type of function that could best model the total amount of gas in the tank of Ibrahim’s car over the time between filling up the tank at the rest area and reaching the exit of his destination.

• Quadratic

• Exponential

• Periodic

• Linear

Multiple Choice

One more!

A portion of a backyard next to a house measures 20 feet by 10 feet. A flower bed of width x feet is going to be built around a patio, as shown. Determine the type of function that could best model the area of the patio as a function of the width of the flower bed.

• Quadratic

• Exponential

• Periodic

• Linear

Draw

Match each description with the correct function model.

Multiple Choice

Now you try:

Salman purchased a new laptop for $1,599.00. He expects that it will retain 90 percent of its value every year. He sketches a graph of the laptop's value for the first five years after purchasing it. Which of the following is a key feature of the sketch?

• The realistic range is from 0 to 1,599

• The realistic domain is from 0 to 5

• The graph represents an increasing function

• The y-intercept is (0, 5)

Multiple Choice

Let's try it!

A computer program ranks the probability of a student at a four-year high school graduating based on the grade (or year) that student is in. In this program, x is a student's grade level. What domain is related to this scenario?

• [1, 12]

• (9, 12)

• [0, 12)

• [9, 12]

Open Ended

Now you try:

An employee is paid a flat amount of $100 per week plus $15 for every hour worked. They are not allowed to work over 40 hours per week. Their weekly income can be modeled by the equation y=15x+100 , where x is the number of hours worked and y is the total amount of money made per week. Write the domain of this function using interval notation.

Draw

Fill in the blank.

Draw

Write "T" or "F" to indicate whether the statement is true or false.

Great job!
Please head back to the main room for the exit ticket!!