Question

Claire works at the Sweet Shop, where candy is bagged and sold by its weight. Claire's last 4 sales of gourmet gummy worms are shown in the table.

- The cost of the gummy worms is proportional to the amount, in pounds, of gummy -worms purchased.
- This situation can be represented by an equation in the form y = kx, where k is the constant of proportionality.

What is the constant of proportionality?

A. $8.30
B. $8.40
C. $14.70
D. $4.73

Answer 1

B

Explanation:

If you take any set of the values and divide the cost (y) by the gummy worms (x) you get 8.4

Answer 2

The constant of proportionality (k) in the relationship between the pounds of gourmet gummy worms (x) and the cost in dollars (y) is k=8.40. Therefore, the equation representing this relationship is y=8.40x

To find the constant of proportionality (k), you can use any two sets of values for x and y from the table and then solve for k using the formula y=kx.

Let's use the first and second sets of values:

x=0.75 pounds, y=6.30

x=2.5 pounds, y=21.00

Now, set up the equations:

6.30=0.75k (using the first set of values)

21.00=2.5k (using the second set of values)

Now, solve for k in both equations:

`\begin{aligned}& k=(6.30)/(0.75)=8.40 \\& k=(21.00)/(2.5)=8.40\end{aligned}`

So, the constant of proportionality k is 8.40

Therefore, the correct answer is B. $8.40.