A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per
hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per
week. His goal is to make at least $300 per week.
1. Create a system of equations or inequalities that models the situation. Define the variable you use

These are the points (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.

Let ;

The hour spent in mow lawns is represent by x,

And represent the hour spent for gardening by y.

According to the question;

He charges $15 per hour to work mow lawns .

And $20 per hour to gardening .

Total no. of hours allowed to work = 20 hours per week

Then the inequality to represent the cost constraint will be,

15x+20y ≥ 300

Since,

He cannot work for more than 15 hours per week, the inequality to represent the time constraint will be,

x + y ≤ 20

On solving the inequalities,

15(20-y) + 20y = 300

300 - 15y + 20y = 300

5y= 0

y = 0

For value of x put y = 0

x + 0 = 20

It states if he work only in mows law for 20 hours he can earn $15 =(15)(20) =$300

All pairs of positive numbers whose sum is less than 20, are solutions to the given system of inequalities.

A pair of negative numbers will also solve both constraints, but is not applicable in this situation because a student, cannot work for negative hours, or for a negative amount of money.

So, (20,0), (0,20), (20,5) are a few points which represent the number of hours a student can work each job to meet his goal.

For more information about system of inequalities click the link given below.

https://brainly.in/question/32858820