Question

Creating Two-Variable Equations Quick Check
4 of 54 of 5 Items
Question
Which of the following options could use both intercepts to produce viable solutions? (1 point)
Responses

(age, weight)
(age, weight)

(number of nominations, number of awards)
(number of nominations, number of awards)

(temperature, number of car rentals)
(temperature, number of car rentals)

(years of experience, starting salary)
(years of experience, starting salary)

Answer 1

To determine which of the options could use both intercepts to produce viable solutions, we need to consider whether both variables can realistically hit zero and what that would mean in real-world scenarios.

1. **(age, weight)**: Age can't be zero in a meaningful way (a person can't be "age zero" for the purpose of this context), so this option isn’t viable.

2. **(number of nominations, number of awards)**: Both variables can be zero (a person can have zero nominations and zero awards), this represents a valid scenario. Thus, this is a viable option.

3. **(temperature, number of car rentals)**: Temperature can be zero (Absolute Zero), but in common contexts (like degrees Celsius or Fahrenheit), it wouldn't be meaningful, and the number of car rentals can’t be negative but can be zero. This option is less viable.

4. **(years of experience, starting salary)**: Starting salary can be zero (if someone has no past experience), but years of experience can't practically be zero for a job context (since that would imply someone has always worked). Therefore, this isn't a viable option.

Based on this analysis, the option that could use both intercepts to produce viable solutions is:

**(number of nominations, number of awards)**.