A rental company charges $15 plus $4 per hour to rent a
bicycle. If Margie does not want to spend more than $27
for her rental, write and solve an inequality to determine
how many hours she can rent the bicycle and not spend
more than $27. Interpret the solution.
A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental, write and solve an inequality to determine how many hours she can rent the bicycle and not spend more than $27.
Group of answer choices
15 + 4h <= 27
15+4h<_ 27
-15 -15.
=h<_3
4x>= 12
To determine how many hours Margie can rent the bicycle without spending more than $27, we can set up an inequality.
Let's assume the number of hours she rents the bicycle as 'h'. According to the given information, the rental company charges $15 plus $4 per hour. So, the total cost 'C' of renting the bicycle for 'h' hours can be calculated as:
C = 15 + 4h
Now, considering Margie's condition of not wanting to spend more than $27, we can write the inequality:
C ≤ 27
Substituting the value of C from the previous equation, we have:
15 + 4h ≤ 27
To solve this inequality, we can isolate 'h'. Subtracting 15 from both sides:
4h ≤ 12
Finally, divide both sides by 4:
h ≤ 3
Therefore, the solution to the inequality is h ≤ 3. This means that Margie can rent the bicycle for up to 3 hours without spending more than $27.
Interpreting the solution, it states that Margie cannot rent the bicycle for more than 3 hours if she wants to stay within her budget of $27. If she rents the bicycle for 3 hours or fewer, she will not exceed her budget.
The solution would be: x ≥ 3
Because:
15+4x ≥ 27
-15 -15
4x ≥ 12