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

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

if you need just tell me and i will come to the rescue.

step-by-step explanation: