Question

Sam the Hummingbird flies at a rate of 2 yards per minute, as modeled by the equation y = 2x. She

Answer 1

Answer:

See attachment for plot

Step-by-step explanation:

Given

$y =2x$

$R =+2$ --- increment in the rate

First, we need to model the new rate

A linear equation is:

$y = mx + b$

Where

$m = rate$

Compare $y =2x$ and $y = mx + b$. we have:

$m =2$

The above represents the previous rate.

The new rate:

$R =+2$

Rewrite as:

$R = m+2$

$R = 2+2$

$R = 4$

So, the model is:

$y = Rx$

$y = 4x$

The plot at 1 and 2 minutes

When $x = 1$

$y = 4x = 4 * 1 = 4$

When $x = 2$

$y = 4x = 4 * 2 = 8$

So, we have:

$(x_1,y_1) =(1,4)$

$(x_2,y_2) =(2,8)$

Whether she moves backwards or forward, the distance covered remains the same

See attachment for plot