Question

question 2
mhp_tal_write linear inequalities
a car rental agency charges $10 to reserve a car and $25 per day. you have $285 to spend on the rental car. what is the maximum number of days you can rent a car?
a) an unlimited number of days.
b) 4 days
c) 11 days
d) 26 days
save and exit

Explanation:

Step1: Set up the inequality

Let \(x\) be the number of days. The cost function is \(C = 10+25x\). We know that \(C\leq285\), so \(10 + 25x\leq285\).

Step2: Solve the inequality for \(x\)

Subtract \(10\) from both sides: \(25x\leq285 - 10\), so \(25x\leq275\).
Divide both sides by \(25\): \(x\leq\frac{275}{25}\), so \(x\leq11\).

Answer:

C) 11 days