Interpreting Functions in Context

Describe the meaning of the rate of change for this graph.

• for every 2 hours, the temp goes up by 1 degree

• the temp increases 2 degrees every hour

• the temp increases 1 degree every 2 hours

What does f(1990)=214 mean in the context of the problem?

• In 1990 there were 214 million people with health insurance

• In 214, there were 1990 people with health insurance

• When there are 1990 people, the year is 214

• None of these

What does it mean when x = 5

• The painting is $5

• Sally is charing $50 for the painting

• It took Sally 5 hours to paint that picture

• The y intercept is $50

• Accelerating gradually

• Stopping

• Slowing down constantly

• Speeding up constantly

A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.

• C(m) = 2m + 3

• C(m) = 3m + 2

• C(m) = 4m + 1

• C(m) = 5m + 2

The total cost in dollars, c(x), to purchase video games online can be found using the function c(x) = 16.95x + 4.75, where x is the number of video games purchased.  If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

• {4, 5, 6, 7}

• 4 ≤ x ≤ 7

• 72.55 ≤ c ≤ 123.50

• {72.55, 89.50, 106.45, 123.40}

Tags

AI.9.2.A

At what rate did the rain fall?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

What is the meaning of the y-intercept?

• The weight in the bucket increases by 1 pound per pound of sand.

• Before sand is put in the bucket, it weighs 1 pound.

• The starting weight of the sand is 1 pound.

• The weight in the bucket decreases by 1 pound per pound of sand.

The graph shows the candle's height (cm) as it burns (minutes).  What does the slope MEAN?

• The candle burns 1 cm every minute.

• The candle burns 2 cm every 2 minutes.

• The candle burns 2 cm every minute.

• The candle burns 1 cm every 2 minutes.