Answer:
1. D. [tex] n + 4 = 30 [/tex]
2. A. [tex] 5h \ge 15 [/tex]
3. D. [tex] p + 5 \le 40 [/tex]
Step-by-step explanation:
1. Initial number of students = n
Number of new students that joined the class = 4
New total number of students after 4 students joined the class (n + 4) = 30
The equation that can be used to find the number of students in the class before new students joined, n, is represented by the equation below:
[tex] n + 4 = 30 [/tex]
2. The goal of Lucy is to walk at least 15 miles. This means, she must walk a distance that is equal to 15 or greater than 15 (goal: ≥ 15).
Rate of walking = 5 miles per hour
Number of hours = h
To determine how many she would walk in order to attain her goal, the inequality below represents the situation:
[tex] 5h \ge 15 [/tex]
3. Mr Sanchez has $40 as the maximum he can spend. This means the total of all his spending must be equal to or less than $40 (total spending: ≤ 40).
Cost of ticket to the museum = $5
Cost of spending on other things at the museum = p dollars
Total spending = [tex] p + 5 [/tex]
Since total spending limit is $40, the following inequality can be used to determine the possible values for p:
[tex] p + 5 \le 40 [/tex]
