a How many students can you take on the trip if every student chooses the meal plan? What if none choose the meal plan?
B
b What does the domain show? What does the range show?
A
a See solution.
B
b See solution.
Practice makes perfect
a Let's look at the given graph.
We can see that the y-intercept is 60. This means that if every student decides to choose the meal plan, then we can afford to bring 60 students to the park. Similarly, since the x-intercept is 90, we can bring 90 students if none of them choose the meal plan.
b Let's go through the domain and range one at a time.
Domain
The domain is the number of students who do not choose the meal plan and is represented by the variable x in the given equation. It ranges from 0 to 90. This is because if no students choose the meal plan we can take up to 90 students on the trip, using the whole budget. We can write the domain as an interval.
Domain: 0≤ x ≤ 90
Range
The range is the number of students who choose the meal plan and it is represented by the variable y. Its value ranges from 0 to 60. This is because if all of the students choose the meal plan we can take up to 60 students on the trip. We can write the range as an interval.
Range: 0≤ y ≤ 60
