Question

The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased?

0.41 < < 0.50
0.41 < < 0.50
0.41 < 3.40x < 0.50
0.41 < 3.40 + x < 0.50

Answer 1

The inequality representing the range of possible pounds purchased by Sarah is 0.41 < x < 8.29, with x being the number of pounds of bananas.

Step-by-step explanation:

The inequality that represents the range of possible pounds of bananas Sarah could have purchased is 0.41 < x < 8.29. This is found by dividing the total amount Sarah paid by the cost per pound of bananas. Since Sarah paid $3.40 and the cost per pound is greater than $0.41 and less than $0.50, we can establish two inequalities:

• $3.40 / $0.50 < x
• $3.40 / $0.41 > x

These inequalities simplify to:

• 6.8 < x
• 8.29 > x

So, combining these, we end up with the inequality 6.8 < x < 8.29.

Answer 2

0.41 x < 3.40 < 0.50 x
If there is a whole number of pounds it could be: x = 8 pounds
0.41 * 8 = 3.28, 0.50 * 8 = 4
3.28 < 3.40 < 4
Answer:
Inequality is
0.41 x < 3.40 < 0.50 x