Which of the following situations can best be modeled with a quadratic function?
For every month that passes, the number of songs stored on an MP3 player increases by 22.
The change in the number of students enrolled in a college over the previous semester is increasing by 58 each semester.
The amount of yogurt consumed by citizens of a country is increasing by 25,000 ounces every month.
The average number of minutes high school students sleep every night is decreasing by 3 minutes every 5 years.
If a change in variable x suggests a change in variable y, does the change in x cause the change in y?
always
sometimes
never
only if there is a direct relationship
The number of people in a line as a function of minutes passed can be modeled with the quadratic function whose graph has a vertex of (1, 14) as shown. What is the quadratic function's equation?
v=2(x-1)2+14
v=3(x-1)2+14
v=4(x-1)2+14
v=5(x-1)2+14
Which of the following situations can best be modeled with a linear function?
For every $0.15 decrease in the price of a carton of eggs, the number of cartons purchased increases by 10 percent.
The total number of hot tamales sold is doubling every year.
The area of a circle is equal to π times the radius squared.
Every 3 months the number of potholes in the street increases by 5.
Which of the following situations can be modeled with an exponential function?
Corey pays $410 a month for rent.
Brittany’s income triples every 10 years.
Ralph gets paid $150 an hour.
Jessica notices a constant change in temperature of her coffee with every minute that passes.