Interpreting Graphs of Linear Functions in Context

What would be the temperature after 20 hrs?

what would the y value be when the x value is 26?

The graph shows the height (cm) of a candle, y, as it burns over x hours, what does the x-intercept (4.5,0) mean?

• The candle is 4.5 cm tall after a couple of hours.

• Candle start at 4.5 cm,

• The candle is 0 cm after 4.5 hours.

• The candle burns at 4.5 cm per hour.

Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?

• After 4 hours of work, Derek makes $37.

• Derek needs $4 more to have $37 total.

• After working for 4 days, Derek makes $37 total.

• After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

According to the graph, at what speed is this car traveling in miles per hour?

• 80 mph

• 20 mph

• 40 mph

• 160 mph

What is the rate of change demonstrated in this graph?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Which of the following is another meaning of y-intercept?

• location

• initial value

• total

• constant rate

Dorothy loves to make cakes.  The following table shows how the number of eggs that she has left changes as she makes cakes.
What is the meaning of the y-intercept?

• She uses 5 eggs for every 2 cakes.

• She started with 47 eggs.

• She uses 47 eggs for every 0 cakes.

• She started with 5 eggs.

Which of the following points is a y-intercept?
(-2,3) (4, -2) (0, 5) (-9,0)

• (-9,0)

• (-2,3)

• (4,-2)

• (0,5)