Graph Proportional Relationships and Identify If It Is Discrete or Continuous

Tell whether the relationship should be represented by a continuous or discrete graph. Explain.
The money raised from a raffle with a $200 prize where the tickets cost $2.50 per person.

• Continuous; the money raised depends on the number of tickets sold, and since any number of tickets can be sold, this situation is continuous.
• Discrete; the money raised depends on the number of tickets sold, and since only a whole number of tickets can be sold, this situation is discrete.
  
• Continuous; the money raised depends on the number of tickets sold, and since a person can buy more than one ticket, this situation is continuous.
• Discrete; the $200 prize is a whole number, so the situation is discrete.
  

Tell whether the relationship should be represented by a continuous or discrete graph. Explain.

the height of a tree over time

• Continuous; a tree grows gradually, not in steps, so this situation is continuous.

• Continuous; a tree grows in steps, so this situation is continuous.

• Discrete; a tree stops growing at a certain age, so this situation is discrete.

• Discrete; a tree never stops growing, so this situation is discrete.

Determine whether the function rule models discrete or continuous data.
A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d.

• discrete
• continuous

Determine whether the function rule models discrete or continuous data.
A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.

• discrete
• continuous

Tell whether the relationship should be represented by a continuous or discrete graph.
The number of bagels b remaining in a dozen depends on the number x that have been sold.

• continuous
• discrete

Tell whether the relationship should be represented by a continuous or discrete graph.
The amount of gas remaining in the tank of a gas grill depends on the amount of time t the grill has been used.

• continuous
• discrete

Tell whether the relationship should be represented by a continuous or discrete graph.
The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered.

• continuous
• discrete

How does the graph of a continuous relationship look?

• points are connected

• points are not connected

• arrows

• linear

If movies at a theater cost $10 each and you and 4 friends might be going, what would be the appropriate domain?

• 0, 10, 20, 30, 40, 50

• 0, 1, 2, 3, 4, 5

• all real numbers

Peyton's freezer can be set to a range of temperatures, from 25 degrees to 30 degrees.

When the temperature is 30, it takes water

4 hours to freeze, which is the longest time. The shortest time is 2 hours when the temperature is set to 25 degrees

Which number type is appropriate for the domain ?

• integers

• wholes

• all real numbers

• all real numbers from 25 to 30 degrees

• 25, 26, 27, 28, 29, 30