1. When would the following conditional be false?
If you work 20 hours a week, then you make 125.00.
A) You work 25 hours a week, and make 125.00.
B) You work 25 hours a week, and you make 175.00.
C) You work 20 hours a week, and you make 175.00.
D) You work 20 hours a week, and you make 125.00.
Would the answer be C? Thank you!
To determine when the conditional statement "If you work 20 hours a week, then you make 125.00" is false, we need to examine whether the quantities in the statement align with the given scenario.
If the statement is true, it means that working 20 hours a week will guarantee an income of 125.00. Conversely, if the statement is false, it means that working 20 hours a week will not guarantee an income of 125.00.
Let's evaluate each option:
A) You work 25 hours a week, and make 125.00.
This option does not negate the original statement because it suggests that working extra hours (25 instead of 20) results in the same income (125.00). So, option A does not make the original conditional statement false.
B) You work 25 hours a week, and you make 175.00.
This option suggests that working extra hours (25 instead of 20) leads to a higher income (175.00). It also does not negate the original statement because it is still possible to work 20 hours and make 125.00. Therefore, option B does not make the original conditional statement false.
C) You work 20 hours a week, and you make 175.00.
This option contradicts the original statement since it suggests that by working the specified hours (20), the income amount (175.00) is different from the stated amount (125.00). Thus, option C makes the original conditional statement false.
D) You work 20 hours a week, and you make 125.00.
This is the same statement as the original conditional given. If the original statement is true, this option must also be true.
Based on the analysis, the correct answer is option C because it makes the original conditional statement false.