which would most likely be graphed using a continuous graph? check all that apply.\n□ total cost, c, of…

which would most likely be graphed using a continuous graph? check all that apply.\n□ total cost, c, of buying b cans of beans\n□ total cost, c, of buying g pounds of broccoli\n□ speed of a car, s, as it accelerates over time, t\n□ number of stamps, s, needed to mail p postcards\n□ total distance, d, that has been driven over time, t\n□ decrease in outside temperature, f, one evening over time, t

which would most likely be graphed using a continuous graph? check all that apply.\n□ total cost, c, of buying b cans of beans\n□ total cost, c, of buying g pounds of broccoli\n□ speed of a car, s, as it accelerates over time, t\n□ number of stamps, s, needed to mail p postcards\n□ total distance, d, that has been driven over time, t\n□ decrease in outside temperature, f, one evening over time, t

Answer

Brief Explanations:

  1. For the total cost $c$ of buying $b$ cans of beans, $b$ is a discrete variable (you can't buy a fraction of a can), so it's a discrete - valued relationship.
  2. For the total cost $c$ of buying $g$ pounds of broccoli, $g$ can take on any non - negative real value (you can buy 1.5 pounds, 2.33 pounds etc.), so it's a continuous relationship.
  3. The speed $s$ of a car as it accelerates over time $t$ can take on any real value within a range, and time $t$ is also continuous, so it's a continuous relationship.
  4. The number of stamps $s$ needed to mail $p$ postcards is a discrete variable (you can't have a fraction of a stamp), so it's a discrete - valued relationship.
  5. The total distance $d$ that has been driven over time $t$: both $d$ and $t$ can take on any non - negative real values, so it's a continuous relationship.
  6. The decrease in outside temperature $F$ one evening over time $t$: both $F$ and $t$ can take on real values, so it's a continuous relationship.

Answer:

total cost, c, of buying g pounds of broccoli speed of a car, s, as it accelerates over time, t total distance, d, that has been driven over time, t decrease in outside temperature, F, one evening over time, t