The inequality to represent the number of hours when Kent has ridden more than 30 miles is y = 6x for x > 5, where x is the number of hours ridden and y is the distance in miles.
Step-by-step explanation:
Step 1:
First, we need to plot the coordinates of the line on the graph.
We plot the points that fall exactly on an x axis value and also on a y axis value.
There are three such points on the given graph; (5, 30), (10, 60) and (15, 90). These points fall exactly on the values of the x axis and the y axis.
Step 2:
Now, we establish a relationship between the values of x (the number of hours ridden) and y (distance in miles).
Here y is the dependent value and x is the independent value i.e. the value of y values according to the values of x.
In 5 hours, Kent rode 30 miles. In 10 hours, he rode 60 miles and in 15 hours he rode 90 miles.
Step 3;
So for every 5 hours, Kent rides another 30 miles.
So y = 6x for x>5 is the
When x = 10, y = 6 × 10 = 60 miles,
When x = 15, y = 6 × 15 = 90 miles.
≈10,4