3.8 Linear Functions in Context

​Parts of a linear equation

​y = mx+b

• y - the total amount

• m - the amount increasing or decresing each time x occurs

• x - an event that occurs regularly (usually measures time)

• b - a constant, 1 time starting amount

Some text here about the topic of discussion

Multiple Choice

Which equation would help you answer the question?

• y=247x+320

• y=320x+247

• y=1424x+320

• y=247x+1424

Fill in the Blank

Write the equation that represents the problem with no spaces and no commas

Multiple Choice

Choose the correct answer to the question

• 4 months

• 5 months

• 6 month

• 3 months

Fill in the Blank

Type your answer to the question (numerical values only)

Multiple Choice

What does the slope represent in this context?

• The number of eggs that fit in the basket

• The mass per egg

• The mass of the basket

• Amount of eggs per basket

Multiple Choice

The graph shows the height (cm) of a candle as it burns, what does the y-intercept mean?

• Candle starts at 9 cm.
• Candle start at 4.5 cm
• Candle starts at 0 cm.
• The candle ends at 5 cm

Multiple Choice

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.

Multiple Choice

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

Multiple Choice

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

Multiple Choice

To prepare for a recent road trip, Jill filled up her 19-gallon tank. She estimates that her SUV will use about three gallons per hour. Write an equation to model the amount of gasoline, G, remaining in her tank after t hours.

• G=19 – 3t

• G=19 + 3t

• G=3 - 19t

• G=3 + 19t

Multiple Choice

On a recent scuba diving trip, Kate and Kara reached a depth of 130 feet. Six-and- a-half minutes later after ascending at a constant rate, they reached the surface. Write an equation to represent their distance, D, as a function of time, t.

• D = 130 – 20t

• D = 130 + 20t

• D = 20 – 130t

• D = 20 + 130t

Multiple Choice

Moche started a summer business of mowing lawns. However, before he could mow lawns, he needed to purchase supplies (a lawnmower among other needs). Moche spent $395 gathering necessary materials. He makes on average $60 per lawn, mowed. Write an equation to show Moche his earnings for L lawns mowed.

• m = 60L - 395

• m = 60L + 395

• m = 60 - 395L

• m = 60 + 395L

Multiple Choice

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck
• The per-mile fee for the moving truck
• How much Charlie paid for the truck
• The number of miles he drove

Multiple Choice

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

• The monthly fee
• How much Rich pays per visit
• The number of times Rich goes to the gym
• The total cost at the end of the month

Multiple Choice

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle
• the rate at which the candle is losing height
• the change in the height of the candle each hour
• the original height of the candle