The price for a taxi cab in a small city is $4.00 per mile, x, while traveling, and $0.50 every minute, y, while waiting. If you have $40 to spend on a cab ride, the inequality 4,00x+0.50y<=40 represents your situation. Graph this inequality in the first quadrant only.
Use the graphing tool to graph the inequality

The graph of the linear inequality 4x + 0.5y ≤ 40 is given by the image at the end of the answer.How to graph the linear inequality?The first step in graphing the linear inequality is identifying the domain of the situation.Only numbers in the first quadrant are plotted, hence the first two constrains for the domain are given as follows:x > 0.y > 0.The inequality is a linear inequality, hence the next step is identify the intercepts and then trace a line connecting them.The x-intercept is the value of when y = 0, hence:4x = 40x = 40/4x = 10.Hence it is represented by point (10,0).The y-intercept is the value of y when x = 0, hence:0.5y = 402 x 0.5y = 2 x 40y = 80.Hence it is represented by point (0,80).The values less than the inequality are plotted, hence the graph is composed by the points on the first quadrant and below the line 4x + 0.5y = 40, as shown by the image at the end of the answer.More can be learned about linear functions at https://brainly.com/question/24808124#SPJ1