Question

is the cost proportional to the amount of candy? why or why not?

Explanation:

Step1: Calculate the unit rate for each pair

For the first pair ($2$ pounds and $4$ dollars):
The unit rate is $\frac{4}{2}=2$ dollars per pound.
For the second pair ($7$ pounds and $14$ dollars):
The unit rate is $\frac{14}{7}=2$ dollars per pound.
For the third pair ($3$ pounds and $5$ dollars):
The unit rate is $\frac{5}{3}\approx1.67$ dollars per pound.
For the fourth pair ($6$ pounds and $12$ dollars):
The unit rate is $\frac{12}{6}=2$ dollars per pound.

Step2: Check for proportionality

Since the unit rate for the pair ($3$ pounds and $5$ dollars) is different ($\frac{5}{3}
eq2$) from the unit rates of the other pairs ($2$ dollars per pound), the cost is not proportional to the amount of candy.

Answer:

No, the cost is not proportional to the amount of candy. Because the unit rates are not all the same. For example, when there are $3$ pounds of candy, the unit rate is $\frac{5}{3}\approx1.67$ dollars per pound, while for other amounts (like $2$ pounds, $7$ pounds, $6$ pounds) the unit rate is $2$ dollars per pound.