Interpret the Meaning of a Point on a Linear Graph

Dorothy loves to make cakes. The following table shows how the number of eggs that she has left changes as she makes cakes.

Interpret the y- intercept in context

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Interpret the point (12, 100)

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

• b=9, Candle starts at 9 cm.

• b=9, the candle burns 9 inches per hour.

• b=2, the candle burns 2 inches per hour.

• b = 5, The candle ends at 5 cm

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.

Which situation below is representative of y-intercept?

• Saving $300 per month

• Starting your day with $30 in your wallet

• Spending $3 per ride at the fair

• Paying $2 for parking every day

Interpret the meaning of the graph.

• The cafe charges a $6 flat fee and an additional $2 per hour.

• The cafe charges $6 per hour.

• The cafe charges $22 to use the internet.

• The cafe charges a flat fee of $22 and an additional $1 per hour.

The graph below models the relationship between the distance someone travels and the time they have been traveling. What is the y-intercept and the meaning?

• The y-intercept is 0. It represents the time the person has traveled to go 0 miles.

• The y-intercept is 240. It represents the distance the person has traveled after 6 hours.

• The y-intercept 40. It represents the rate at which the person is traveling.

• The y-intercept is 0. It represents the distance the person has traveled at the beginning.

Jimmie runs a game at the Spring Time Carnival. What is the x-intercept and what does it mean?

• The x-intercept is 200. It is the number of prizes the carnival has before 0 games are played.

• The x-intercept is 60. It is the number of games played before running out of prizes.

• The x-intercept is 20. There were 125 prizes left when 20 games were played. 

What is the rate of change and interpret the meaning?

• 6 cookies per package

• 6 packages per cookie

• 1 cookie per package

• 1 package per cookie

What is the x-intercept of the following graph?