Store A and store B are each running specials in their stores.

Question

The equation below represents the amount of discount for an item that costs x dollars at store A.
y=0.3

The graph below represents the amount of discount for an item that costs x dollars at store B.
the graphs constant of proportionality is 0.4.

Which store is offering the greater rate of discount?
A.
There is not enough information to determine the rates of the discounts.
B.
Store A and store B are offering the same rate of discount.
C.
Store A is offering the greater rate of discount.
D.
Store B is offering the greater rate of discount.

Answer 1

To compare the rates of discount offered by both stores, we need to examine the constant of proportionality for each store.

For Store A, the equation for the discount is given as \( y = 0.3 \). This means that the discount is 30% of the item's cost.

For Store B, the graph represents a constant of proportionality of 0.4. This indicates that the discount is 40% of the item's cost.

Now we can compare the two rates of discount:

• Store A: 30%
• Store B: 40%

Since 40% is greater than 30%, Store B is offering a greater rate of discount.

Therefore, the answer is: D. Store B is offering the greater rate of discount.