Question

Caren is making rice and beans. She can spend no more than 10.00 on ingredients. She buys one bag of rice for4.99. Beans cost 0.74 per pound. How many pounds of beans, x, can she buy? Write an inequality that represents this situation. Is10.00 greater than or equal to 4.99 +0.74x? Does 6.5 fit both the inequality and the situation?

Answer 1

Caren can buy 6.5 pounds of beans within her budget of $10.00.

Step-by-step explanation:

To determine how many pounds of beans Caren can buy, we can set up an inequality based on her budget. Let x represent the number of pounds of beans she can buy. We know that a bag of rice costs $4.99 and beans cost $0.74 per pound. Caren's total spending should be less than or equal to $10.00.

The inequality that represents this situation is: 10.00 >= 4.99 + 0.74x.

To check if 6.5 pounds of beans fit both the inequality and the situation, we can substitute x = 6.5 into the inequality and evaluate it:

10.00 >= 4.99 + 0.74 * 6.5

10.00 >= 4.99 + 4.81

10.00 >= 9.80

Since 10.00 is greater than or equal to 9.80, and the inequality is satisfied, Caren can buy 6.5 pounds of beans within her budget.