Guided Practice A Tank of Gas Graph

The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.

A.
−115 gal/mi; the amount of fuel consumed each mile is115 gallon.

B.
15 gal/mi; the amount of fuel in the tank increases by 15 gallons each mile traveled.

C.
115 gal/mi; the amount of fuel in the tank increases by 115gallon each mile traveled.

because the ratio of the change in y to the change in x is constant.  

Draw any two right triangles whose diagonal is a section of the line, and they are similar, since the have common angles.

A straight line on a graph shows a constant rate change because the line never change. if the line changed, it wouldn't be a constant rate change.

If the line is straight it changing at the same rate.

Step-by-step explanation:

    y = -0.04x + 17.2

Explanation:     The y-intercept is the point where the graph crosses the y-axis.  In an equation in slope-intercept form, y=mx+b, it is b, the number added after the x.

Looking at our graph, we can see that the graph intersects the y-axis a little over 17; this means our y-intercept, given our choices, is 17.2.

The slope is the rate of change; in slope-intercept form it is m, the number x is multiplied by.

In our graph, we can see that it goes from a little over 17 to 16 on the y-axis as it goes from 0 to 30 on the x-axis; this makes the slope about 1/30, or 0.03.  The line is decreasing, so the slope must be negative.  The closest match in our options is -0.04.

This makes the equation y = -0.04x + 17.2.

Y=-0.04x+17.2

This equation matches the point at (30, 16) on the graph, and so I deem this equation as correct.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph