Ronald need to earn at least Php 2,500 from his two jobs to cover his weekly expenses.This week,he can work for at most 42 hours.His job as a gas station attendant pays Php 52.50 per hour while his job as parking attendant pays Php 40 per hour.

A. Write a system of linear inequalities to model the given situation?
B. Given this conditions,can Ronald be able to meet his target of earning Php 2,500?Why or why not?Justify your answer

42 * 52.50 = 220.50

What does that tell you?

A. To write a system of linear inequalities to model the given situation, we need to define the variables and set up the inequalities.

Let's use the following variables:
- Let x represent the number of hours Ronald works as a gas station attendant.
- Let y represent the number of hours Ronald works as a parking attendant.

The first inequality to consider is the total number of hours Ronald can work:
x + y ≤ 42

The second inequality to consider is the minimum earning condition:
52.50x + 40y ≥ 2500

B. To determine if Ronald can meet his target of earning Php 2,500, we will solve the system of linear inequalities.

First, let's graph the inequalities on a coordinate plane.

For the inequality x + y ≤ 42, we can plot the line x + y = 42 and shade the region below the line.

For the inequality 52.50x + 40y ≥ 2500, we can plot the line 52.50x + 40y = 2500 and shade the region above the line.

Now, let's determine the feasible region, which represents the overlapping shaded area.

Next, we will check if there is a point within the feasible region that satisfies the second inequality.

One way to check is by substituting values from the feasible region into the inequality and checking if it holds true.

For example, let's consider the point (30, 12) that lies within the feasible region. When we substitute these values into the inequality:
52.50(30) + 40(12) ≥ 2500

We get:
1575 + 480 ≥ 2500

2055 ≥ 2500

Since the inequality is not true, this means Ronald cannot meet his target of earning Php 2,500.

In conclusion, Ronald cannot meet his target of earning Php 2,500 because there is no point within the feasible region that satisfies the second inequality.