The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distance the plane flies in miles for plane A. The table represents the relationship for plane B. Find the slope of the graph for each plane and the plane's rate of speed. Determine which plane is flying at a faster rate of speed look at the picture please

Plane A:

The rate of change or slope of function A is: m = 470

It means plane A is flying 470 miles per hour.

Thus, the rate of speed of plane A is 470 miles per hour.

Plane B:

The rate of change or slope of Plane B is: m = 480

It means Plane B is flying 480 miles per hour.

Thus, the rate of speed of plane A is 480 miles per hour.

Therefore, we conclude:

Step-by-step explanation:

The slope-intercept form of the line equation

where

Plane A

From the given equation

y = 470x

where

x is the time that plane flies in hours

y is the distance the plane flies in miles

Thus, comparing with the slope-intercept form y = mx+b

The rate of change or slope = 470

It means plane A is flying 470 miles per hour.

Plane B

Given the table

Time (h)                 1            2             3            4

Distance (mi)        480       960         1440     1920

Finding the slope by taking any two points, let say, (1, 480) and (2, 960)

Refine

Therefore, the rate of change or slope of Plane B is: m = 480

It means Plane B is flying 480 miles per hour.

Conclusion:

Plane A:

The rate of change or slope of function A is: m = 470

It means plane A is flying 470 miles per hour.

Thus, the rate of speed of plane A is 470 miles per hour.

Plane B:

The rate of change or slope of Plane B is: m = 480

It means Plane B is flying 480 miles per hour.

Thus, the rate of speed of plane A is 480 miles per hour.

Therefore, we conclude:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

cant

step-by-step explanation: there is no picture