GoRide charges P287 flat rate and an additional P377 for every kilometer \( (x) \) traveled. If we only have P3680, how many kilometers will we be able to travel? 09 011 016 0

To find out how many kilometers you can travel with P3680, we need to set up an equation based on the given information. Let's denote the number of kilometers traveled as \( x \). The total cost of traveling \( x \) kilometers is the sum of the flat rate and the additional cost per kilometer: \[ \text{Total Cost} = P287 + P377x \] Since you only have P3680, the total cost should not exceed this amount: \[ P287 + P377x \leq P3680 \] Now, we can solve this inequality to find the maximum number of kilometers you can travel with P3680. Solve the inequality by following steps: - step0: Solve for \(x\): \(287+377x\leq 3680\) - step1: Move the constant to the right side: \(377x\leq 3680-287\) - step2: Subtract the numbers: \(377x\leq 3393\) - step3: Divide both sides: \(\frac{377x}{377}\leq \frac{3393}{377}\) - step4: Divide the numbers: \(x\leq 9\) The solution to the inequality is \( x \leq 9 \). This means that with P3680, you can travel a maximum of 9 kilometers.