Question

Which scenario can be represented using the inequalities below? 1.25 < x < 1.5

a. A container of milk costs at least $1.25 but less than $1.50.
b. A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework.
c. A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%.
d. The point value of a test item is more than 1.25 points and less than 1.5 points.

Answer 1

The answer is D

Explanation:

Answer 2

d. The point value of a test item is more than 1.25 points and less than 1.5 points.

Explanation:

Write the inequality for each scenarios, as follows:

a. defining x: container of milk cost. Data: x is at least $1.25 but less than $1.50. These mean that x >= $1.25 and x < $1.5, because $1.25 is included but $1.5 is not.

b. defining x: minutes spent on homework by the student. Data: x is at least 1.25 hours ( 1 hour 15 minutes) but no more than 1.5 hours (1 hour 30 minutes). These mean that x >= 1.25 h and x < 1.5 h, because 1.25 h is included but 1.5 h is not.

c. defining x: tip added to a restaurant bill. Data: x is less than or equal to 1.25 (addition of 25% to the bill) or less than or equal to 1.5 (addition of 50% to the bill). In the first case x <= 1.25 and in the second one x <= 1.5

d. defining x: the point value of a test item. Data: x is more than 1.25 points and less than 1.5 points. These mean that x > 1.25 and x < 1.5

In consequence, only the last scenario can be represented by the inequality 1.25 < x < 1.5.