The graph shows the relationship between the number of gallons of fuel remaining in the tank of a semitruck and the number of miles traveled by the semitruck. which function can be used to find y, the number of gallons o fuel remaining in the tank of the semitruck after it has traveled x miles?

The graph is missing, so i have attached it.

y = -0.04x + 17.2

Step-by-step explanation:

Looking at the graph attached, we can see that the line of the graph intersects the y-axis at approximately 17.2

Thus, y-intercept = 17.2.

Now, the slope intercept equation is;

y = mx + c

Where;

m is the slope which is the rate of change of the y-values with respect to their corresponding x-values.

c is the y-intercept

From the graph, we can see that the change from 17.2 to 16 on the y-axis corresponds to change from 0 to 30 on the x-axis;

Thus, the slope is;

m = (16 - 17.2)/(30 - 0)

m = -1.2/30

m = -0.04

So, m = -0.04 and c = 17.2

Thus, the function to find y is to plug this value of m and c into the slope intercept form to get;

y = -0.04x + 17.2