Linear Functions Intervals

One characteristic of all linear functions is that they change by

• equal factors over equal intervals

• unequal factors over equal intervals

• equal differences over equal intervals

• unequal differences over equal intervals

Tags

CCSS.HSF-LE.A.1B

Which situation could be modeled by using a linear function?

• a bank account balance that grows at a rate of 5% per year, compounded annually

• a population of bacteria that doubles every 4.5 hours

• the cost of cell phone service that charges a base amount plus 20 cents per minute

• the concentration of medicine in a person’s body that

  decays by a factor of one-third every hour

Tags

CCSS.8.F.A.3

Which situation is not a linear function?

• A gym charges a membership fee of $10.00 down and $10.00 per month.

• A cab company charges $2.50 initially and $3.00 per mile.

• A restaurant employee earns $12.50 per hour.

• A $12,000 car depreciates 15% per year.

Tags

CCSS.8.F.A.3

Grisham is considering the three situations below.

I. For the first 28 days, a sunflower grows at a rate of 3.5 cm per day.

II. The value of a car depreciates at a rate of 15% per year after it is purchased.

III. The amount of bacteria in a culture triples every two days during an experiment.

Which of the statements describes a situation with an equal difference over an equal interval?

• I, only

• II, only

• I and III

• II and III

Tags

CCSS.HSF-LE.A.1B

Ian is saving up to buy a new baseball glove. Every month he puts $10 into a jar. Which type of function best models the total amount of money in the jar after a given number of months?

• linear

• exponential

• quadratic

• square root

The highest possible grade for a book report is 100. The teacher deducts 10 points for each day the report is late. Which kind of function describes this situation?

• linear

• quadratic

• exponential growth

• exponential decay

Which graph represents a linear function?

• 
• 

Tags

CCSS.8.F.A.3

The tables below show the values of four different functions for given values of x.

Which table represents a linear function?·

• f(x)

• g(x)

• h(x)

• k(x)

Tags

CCSS.8.F.A.3

Which table of values represents a linear relationship?

• 
• 
• 
• 

Tags

CCSS.8.F.A.3

The function, t(x) , is shown in the table below.

Determine whether is linear or non-linear.

• linear

• non-linear

Tags

CCSS.8.F.A.3