Exercise 24 Page 172

We are told that a group of friends goes scuba diving. The total cost of the group is represented by the given equation. 250x+50y=1000 Here, x represents the number of days that the group rented a boat, and y is the number of people that rented scuba gear. To graph this equation, we will start by finding the y-intercept. Remember that the y-intercept of a line is the y-coordinate of the point where the line crosses the y-axis. This will occurs when x=0. The y-intercept is equal to 20, which means that one point on the line is (0,20). Now, we will find the x-intercept. Recall that the x-intercept is the x-coordinate of the point where the line crosses the x-axis. It occur when y=0. This means that another point on the line is (4,0). Let's plot the points in a coordinate plane and connect them with a line to obtain the graph of the given equation.

The y-intercept represents that if we do not rent a boat we can rent gear for 20 people. Similarly, the x-intercept indicates that the boat can be rented for 4 days if no one rents scuba gear.