Question

Kendra must buy both candy bars for $0.50 each and soda for $0.75 per can. She can spend no more than $6 total. Let x represent the number of candy bars and y represent the number of cans of soda. Write an inequality that describes Kendra's purchase in terms of x and y.

A) 0.50x + 0.75y ≤ 6
B) 0.50x + 0.75y = 6
C) 0.50x + 0.75y ≥ 6
D) 0.50x + 0.75y < 6

Answer 1

The inequality that describes Kendra's purchase in terms of x and y is 0.50x + 0.75y ≤ 6.

Step-by-step explanation:

The inequality that describes Kendra's purchase in terms of x and y is A) 0.50x + 0.75y ≤ 6.

Since Kendra must buy both candy bars for $0.50 each and soda for $0.75 per can, the total cost of her purchase can be represented as 0.50x + 0.75y, where x is the number of candy bars and y is the number of cans of soda. The inequality symbol ≤ is used because Kendra can spend no more than $6 in total.

For example, if she buys 2 candy bars and 4 cans of soda, the cost would be 0.50(2) + 0.75(4) = 1 + 3 = 4, which is less than or equal to $6.