Question

Anna is selling apples and pears to raise money for a charity. She wants to make more than $300. She sells apples for $1.50 each and pears for $0.75 each. Write a linear inequality to model this situation. Let x represent the number of apples she sells, and y represent the number of pears she sells.

a) 1.5x + 0.75y > 300
b) 1.5x + 0.75y < 300
c) 1.5x + 0.75y = 300
d) 1.5x - 0.75y > 300

Answer 1

The correct linear inequality reflecting Anna's goal to make more than $300 by selling apples and pears is 1.5x + 0.75y > 300.

Step-by-step explanation:

The linear inequality to model the scenario where Anna wants to make more than $300 by selling apples for $1.50 each and pears for $0.75 each is given by the expression 1.5x + 0.75y > 300. Here, x represents the number of apples sold, and y represents the number of pears sold. To ensure that Anna makes more than $300, the total revenue, calculated by the sum of $1.50 per apple and $0.75 per pear, must be greater than 300. Therefore, the correct linear inequality from the given options is (a) 1.5x + 0.75y > 300.